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Finding the Fourth Proportional to 21,574, 32,314.26 and 10,457.43

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Solution

The fourth proportional to 21,574, 32,314.26 and 10,457.43 is: 15,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574 : 32,314.26 = 10,457.43 : x
  2. Step 2: Convert to fraction form
    21,574/32,314.26 = 10,457.43/x
  3. Step 3: Cross multiply
    21,574x = 32,314.26 × 10,457.43
  4. Step 4: Simplify right side
    21,574x = 337,924,111.95
  5. Step 5: Solve for x
    x = 337,924,111.95/21,574
  6. Step 6: Final answer
    x = 15,663.49

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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.