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Finding the Fourth Proportional to 21,156.80, 31,720.80 and 10,068.80

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Solution

The fourth proportional to 21,156.80, 31,720.80 and 10,068.80 is: 15,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.80 : 31,720.80 = 10,068.80 : x
  2. Step 2: Convert to fraction form
    21,156.80/31,720.80 = 10,068.80/x
  3. Step 3: Cross multiply
    21,156.80x = 31,720.80 × 10,068.80
  4. Step 4: Simplify right side
    21,156.80x = 319,390,391.04
  5. Step 5: Solve for x
    x = 319,390,391.04/21,156.80
  6. Step 6: Final answer
    x = 15,096.35

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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.