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Finding the Fourth Proportional to 10,670.74, 14,718.81 and 8,318.50

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Solution

The fourth proportional to 10,670.74, 14,718.81 and 8,318.50 is: 11,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.74 : 14,718.81 = 8,318.50 : x
  2. Step 2: Convert to fraction form
    10,670.74/14,718.81 = 8,318.50/x
  3. Step 3: Cross multiply
    10,670.74x = 14,718.81 × 8,318.50
  4. Step 4: Simplify right side
    10,670.74x = 122,438,415.38
  5. Step 5: Solve for x
    x = 122,438,415.38/10,670.74
  6. Step 6: Final answer
    x = 11,474.22

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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.