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Finding the Fourth Proportional to 1,397.62, 1,927.47 and 1,147.48

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Solution

The fourth proportional to 1,397.62, 1,927.47 and 1,147.48 is: 1,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.62 : 1,927.47 = 1,147.48 : x
  2. Step 2: Convert to fraction form
    1,397.62/1,927.47 = 1,147.48/x
  3. Step 3: Cross multiply
    1,397.62x = 1,927.47 × 1,147.48
  4. Step 4: Simplify right side
    1,397.62x = 2,211,732.76
  5. Step 5: Solve for x
    x = 2,211,732.76/1,397.62
  6. Step 6: Final answer
    x = 1,582.50

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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.