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Finding the Fourth Proportional to 9,522, 13,146.12 and 6,215.76

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Solution

The fourth proportional to 9,522, 13,146.12 and 6,215.76 is: 8,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522 : 13,146.12 = 6,215.76 : x
  2. Step 2: Convert to fraction form
    9,522/13,146.12 = 6,215.76/x
  3. Step 3: Cross multiply
    9,522x = 13,146.12 × 6,215.76
  4. Step 4: Simplify right side
    9,522x = 81,713,126.85
  5. Step 5: Solve for x
    x = 81,713,126.85/9,522
  6. Step 6: Final answer
    x = 8,581.51

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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.