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Finding the Fourth Proportional to 27,564, 38,038.50 and 14,989.20

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Solution

The fourth proportional to 27,564, 38,038.50 and 14,989.20 is: 20,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 38,038.50 = 14,989.20 : x
  2. Step 2: Convert to fraction form
    27,564/38,038.50 = 14,989.20/x
  3. Step 3: Cross multiply
    27,564x = 38,038.50 × 14,989.20
  4. Step 4: Simplify right side
    27,564x = 570,166,684.20
  5. Step 5: Solve for x
    x = 570,166,684.20/27,564
  6. Step 6: Final answer
    x = 20,685.19

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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.