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Finding the Fourth Proportional to 25,568.64, 38,362.20 and 8,931.12

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Solution

The fourth proportional to 25,568.64, 38,362.20 and 8,931.12 is: 13,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.64 : 38,362.20 = 8,931.12 : x
  2. Step 2: Convert to fraction form
    25,568.64/38,362.20 = 8,931.12/x
  3. Step 3: Cross multiply
    25,568.64x = 38,362.20 × 8,931.12
  4. Step 4: Simplify right side
    25,568.64x = 342,617,411.66
  5. Step 5: Solve for x
    x = 342,617,411.66/25,568.64
  6. Step 6: Final answer
    x = 13,399.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.