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Finding the Fourth Proportional to 14,787.50, 20,395.15 and 9,482.81

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Solution

The fourth proportional to 14,787.50, 20,395.15 and 9,482.81 is: 13,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.50 : 20,395.15 = 9,482.81 : x
  2. Step 2: Convert to fraction form
    14,787.50/20,395.15 = 9,482.81/x
  3. Step 3: Cross multiply
    14,787.50x = 20,395.15 × 9,482.81
  4. Step 4: Simplify right side
    14,787.50x = 193,403,206.69
  5. Step 5: Solve for x
    x = 193,403,206.69/14,787.50
  6. Step 6: Final answer
    x = 13,078.83

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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.