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Finding the Fourth Proportional to 3,139.47, 4,708.35 and 947.61

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Solution

The fourth proportional to 3,139.47, 4,708.35 and 947.61 is: 1,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.47 : 4,708.35 = 947.61 : x
  2. Step 2: Convert to fraction form
    3,139.47/4,708.35 = 947.61/x
  3. Step 3: Cross multiply
    3,139.47x = 4,708.35 × 947.61
  4. Step 4: Simplify right side
    3,139.47x = 4,461,679.54
  5. Step 5: Solve for x
    x = 4,461,679.54/3,139.47
  6. Step 6: Final answer
    x = 1,421.16

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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.