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Finding the Fourth Proportional to 9,670.12, 13,348.98 and 6,138.76

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Solution

The fourth proportional to 9,670.12, 13,348.98 and 6,138.76 is: 8,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.12 : 13,348.98 = 6,138.76 : x
  2. Step 2: Convert to fraction form
    9,670.12/13,348.98 = 6,138.76/x
  3. Step 3: Cross multiply
    9,670.12x = 13,348.98 × 6,138.76
  4. Step 4: Simplify right side
    9,670.12x = 81,946,184.46
  5. Step 5: Solve for x
    x = 81,946,184.46/9,670.12
  6. Step 6: Final answer
    x = 8,474.16

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.