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Finding the Fourth Proportional to 8,700, 12,006.32 and 4,973.92

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Solution

The fourth proportional to 8,700, 12,006.32 and 4,973.92 is: 6,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,700 : 12,006.32 = 4,973.92 : x
  2. Step 2: Convert to fraction form
    8,700/12,006.32 = 4,973.92/x
  3. Step 3: Cross multiply
    8,700x = 12,006.32 × 4,973.92
  4. Step 4: Simplify right side
    8,700x = 59,718,475.17
  5. Step 5: Solve for x
    x = 59,718,475.17/8,700
  6. Step 6: Final answer
    x = 6,864.19

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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.