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Finding the Fourth Proportional to 14,864.87, 20,510.15 and 10,085.46

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Solution

The fourth proportional to 14,864.87, 20,510.15 and 10,085.46 is: 13,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.87 : 20,510.15 = 10,085.46 : x
  2. Step 2: Convert to fraction form
    14,864.87/20,510.15 = 10,085.46/x
  3. Step 3: Cross multiply
    14,864.87x = 20,510.15 × 10,085.46
  4. Step 4: Simplify right side
    14,864.87x = 206,854,246.99
  5. Step 5: Solve for x
    x = 206,854,246.99/14,864.87
  6. Step 6: Final answer
    x = 13,915.65

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