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Finding the Fourth Proportional to 21,670.80, 32,434.20 and 15,730.80

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Solution

The fourth proportional to 21,670.80, 32,434.20 and 15,730.80 is: 23,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.80 : 32,434.20 = 15,730.80 : x
  2. Step 2: Convert to fraction form
    21,670.80/32,434.20 = 15,730.80/x
  3. Step 3: Cross multiply
    21,670.80x = 32,434.20 × 15,730.80
  4. Step 4: Simplify right side
    21,670.80x = 510,215,913.36
  5. Step 5: Solve for x
    x = 510,215,913.36/21,670.80
  6. Step 6: Final answer
    x = 23,543.94

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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.