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Finding the Fourth Proportional to 3,139.04, 4,709 and 947.52

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Solution

The fourth proportional to 3,139.04, 4,709 and 947.52 is: 1,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.04 : 4,709 = 947.52 : x
  2. Step 2: Convert to fraction form
    3,139.04/4,709 = 947.52/x
  3. Step 3: Cross multiply
    3,139.04x = 4,709 × 947.52
  4. Step 4: Simplify right side
    3,139.04x = 4,461,871.68
  5. Step 5: Solve for x
    x = 4,461,871.68/3,139.04
  6. Step 6: Final answer
    x = 1,421.41

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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.