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Finding the Fourth Proportional to 19,280.72, 28,901.64 and 14,654

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Solution

The fourth proportional to 19,280.72, 28,901.64 and 14,654 is: 21,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280.72 : 28,901.64 = 14,654 : x
  2. Step 2: Convert to fraction form
    19,280.72/28,901.64 = 14,654/x
  3. Step 3: Cross multiply
    19,280.72x = 28,901.64 × 14,654
  4. Step 4: Simplify right side
    19,280.72x = 423,524,632.56
  5. Step 5: Solve for x
    x = 423,524,632.56/19,280.72
  6. Step 6: Final answer
    x = 21,966.22

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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.