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Finding the Fourth Proportional to 21,354, 32,035.10 and 6,560.28

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Solution

The fourth proportional to 21,354, 32,035.10 and 6,560.28 is: 9,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354 : 32,035.10 = 6,560.28 : x
  2. Step 2: Convert to fraction form
    21,354/32,035.10 = 6,560.28/x
  3. Step 3: Cross multiply
    21,354x = 32,035.10 × 6,560.28
  4. Step 4: Simplify right side
    21,354x = 210,159,225.83
  5. Step 5: Solve for x
    x = 210,159,225.83/21,354
  6. Step 6: Final answer
    x = 9,841.68

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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.