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Finding the Fourth Proportional to 1,547.78, 2,332.54 and 1,393.88

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Solution

The fourth proportional to 1,547.78, 2,332.54 and 1,393.88 is: 2,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.78 : 2,332.54 = 1,393.88 : x
  2. Step 2: Convert to fraction form
    1,547.78/2,332.54 = 1,393.88/x
  3. Step 3: Cross multiply
    1,547.78x = 2,332.54 × 1,393.88
  4. Step 4: Simplify right side
    1,547.78x = 3,251,280.86
  5. Step 5: Solve for x
    x = 3,251,280.86/1,547.78
  6. Step 6: Final answer
    x = 2,100.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.