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Finding the Fourth Proportional to 15,526.50, 21,426.57 and 8,452.50

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Solution

The fourth proportional to 15,526.50, 21,426.57 and 8,452.50 is: 11,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,526.50 : 21,426.57 = 8,452.50 : x
  2. Step 2: Convert to fraction form
    15,526.50/21,426.57 = 8,452.50/x
  3. Step 3: Cross multiply
    15,526.50x = 21,426.57 × 8,452.50
  4. Step 4: Simplify right side
    15,526.50x = 181,108,082.93
  5. Step 5: Solve for x
    x = 181,108,082.93/15,526.50
  6. Step 6: Final answer
    x = 11,664.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.