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Finding the Fourth Proportional to 13,528, 20,292 and 7,605.28

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Solution

The fourth proportional to 13,528, 20,292 and 7,605.28 is: 11,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 20,292 = 7,605.28 : x
  2. Step 2: Convert to fraction form
    13,528/20,292 = 7,605.28/x
  3. Step 3: Cross multiply
    13,528x = 20,292 × 7,605.28
  4. Step 4: Simplify right side
    13,528x = 154,326,341.76
  5. Step 5: Solve for x
    x = 154,326,341.76/13,528
  6. Step 6: Final answer
    x = 11,407.92

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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.