Home / 1,187.48-1,781.76-972.56

Finding the Fourth Proportional to 1,187.48, 1,781.76 and 972.56

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Solution

The fourth proportional to 1,187.48, 1,781.76 and 972.56 is: 1,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.48 : 1,781.76 = 972.56 : x
  2. Step 2: Convert to fraction form
    1,187.48/1,781.76 = 972.56/x
  3. Step 3: Cross multiply
    1,187.48x = 1,781.76 × 972.56
  4. Step 4: Simplify right side
    1,187.48x = 1,732,868.51
  5. Step 5: Solve for x
    x = 1,732,868.51/1,187.48
  6. Step 6: Final answer
    x = 1,459.28

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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.