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Finding the Fourth Proportional to 11,528, 15,911.52 and 6,562.88

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Solution

The fourth proportional to 11,528, 15,911.52 and 6,562.88 is: 9,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528 : 15,911.52 = 6,562.88 : x
  2. Step 2: Convert to fraction form
    11,528/15,911.52 = 6,562.88/x
  3. Step 3: Cross multiply
    11,528x = 15,911.52 × 6,562.88
  4. Step 4: Simplify right side
    11,528x = 104,425,396.38
  5. Step 5: Solve for x
    x = 104,425,396.38/11,528
  6. Step 6: Final answer
    x = 9,058.41

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1.5x scale

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.