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Finding the Fourth Proportional to 7,528, 10,375.68 and 7,076.56

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Solution

The fourth proportional to 7,528, 10,375.68 and 7,076.56 is: 9,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,528 : 10,375.68 = 7,076.56 : x
  2. Step 2: Convert to fraction form
    7,528/10,375.68 = 7,076.56/x
  3. Step 3: Cross multiply
    7,528x = 10,375.68 × 7,076.56
  4. Step 4: Simplify right side
    7,528x = 73,424,122.06
  5. Step 5: Solve for x
    x = 73,424,122.06/7,528
  6. Step 6: Final answer
    x = 9,753.47

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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.