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Finding the Fourth Proportional to 21,158.80, 31,723.80 and 10,070.80

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Solution

The fourth proportional to 21,158.80, 31,723.80 and 10,070.80 is: 15,099.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.80 : 31,723.80 = 10,070.80 : x
  2. Step 2: Convert to fraction form
    21,158.80/31,723.80 = 10,070.80/x
  3. Step 3: Cross multiply
    21,158.80x = 31,723.80 × 10,070.80
  4. Step 4: Simplify right side
    21,158.80x = 319,484,045.04
  5. Step 5: Solve for x
    x = 319,484,045.04/21,158.80
  6. Step 6: Final answer
    x = 15,099.35

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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.