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Finding the Fourth Proportional to 1,122.48, 1,681.02 and 1,030.14

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Solution

The fourth proportional to 1,122.48, 1,681.02 and 1,030.14 is: 1,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.48 : 1,681.02 = 1,030.14 : x
  2. Step 2: Convert to fraction form
    1,122.48/1,681.02 = 1,030.14/x
  3. Step 3: Cross multiply
    1,122.48x = 1,681.02 × 1,030.14
  4. Step 4: Simplify right side
    1,122.48x = 1,731,685.94
  5. Step 5: Solve for x
    x = 1,731,685.94/1,122.48
  6. Step 6: Final answer
    x = 1,542.73

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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.