Home / 1,126.52-1,681.91-972.28

Finding the Fourth Proportional to 1,126.52, 1,681.91 and 972.28

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Solution

The fourth proportional to 1,126.52, 1,681.91 and 972.28 is: 1,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.52 : 1,681.91 = 972.28 : x
  2. Step 2: Convert to fraction form
    1,126.52/1,681.91 = 972.28/x
  3. Step 3: Cross multiply
    1,126.52x = 1,681.91 × 972.28
  4. Step 4: Simplify right side
    1,126.52x = 1,635,287.45
  5. Step 5: Solve for x
    x = 1,635,287.45/1,126.52
  6. Step 6: Final answer
    x = 1,451.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.