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Finding the Fourth Proportional to 12,689.73, 19,053 and 9,011.52

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Solution

The fourth proportional to 12,689.73, 19,053 and 9,011.52 is: 13,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.73 : 19,053 = 9,011.52 : x
  2. Step 2: Convert to fraction form
    12,689.73/19,053 = 9,011.52/x
  3. Step 3: Cross multiply
    12,689.73x = 19,053 × 9,011.52
  4. Step 4: Simplify right side
    12,689.73x = 171,696,490.56
  5. Step 5: Solve for x
    x = 171,696,490.56/12,689.73
  6. Step 6: Final answer
    x = 13,530.35

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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.