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Finding the Fourth Proportional to 21,930.89, 32,898.90 and 7,695.01

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Solution

The fourth proportional to 21,930.89, 32,898.90 and 7,695.01 is: 11,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.89 : 32,898.90 = 7,695.01 : x
  2. Step 2: Convert to fraction form
    21,930.89/32,898.90 = 7,695.01/x
  3. Step 3: Cross multiply
    21,930.89x = 32,898.90 × 7,695.01
  4. Step 4: Simplify right side
    21,930.89x = 253,157,364.49
  5. Step 5: Solve for x
    x = 253,157,364.49/21,930.89
  6. Step 6: Final answer
    x = 11,543.41

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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.