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Finding the Fourth Proportional to 15,639.12, 23,465.16 and 8,712

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Solution

The fourth proportional to 15,639.12, 23,465.16 and 8,712 is: 13,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,639.12 : 23,465.16 = 8,712 : x
  2. Step 2: Convert to fraction form
    15,639.12/23,465.16 = 8,712/x
  3. Step 3: Cross multiply
    15,639.12x = 23,465.16 × 8,712
  4. Step 4: Simplify right side
    15,639.12x = 204,428,473.92
  5. Step 5: Solve for x
    x = 204,428,473.92/15,639.12
  6. Step 6: Final answer
    x = 13,071.61

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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.