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Finding the Fourth Proportional to 20,564, 28,369.44 and 12,603.20

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Solution

The fourth proportional to 20,564, 28,369.44 and 12,603.20 is: 17,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564 : 28,369.44 = 12,603.20 : x
  2. Step 2: Convert to fraction form
    20,564/28,369.44 = 12,603.20/x
  3. Step 3: Cross multiply
    20,564x = 28,369.44 × 12,603.20
  4. Step 4: Simplify right side
    20,564x = 357,545,726.21
  5. Step 5: Solve for x
    x = 357,545,726.21/20,564
  6. Step 6: Final answer
    x = 17,386.97

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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.