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Finding the Fourth Proportional to 3,138.64, 4,707.76 and 947.44

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Solution

The fourth proportional to 3,138.64, 4,707.76 and 947.44 is: 1,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.64 : 4,707.76 = 947.44 : x
  2. Step 2: Convert to fraction form
    3,138.64/4,707.76 = 947.44/x
  3. Step 3: Cross multiply
    3,138.64x = 4,707.76 × 947.44
  4. Step 4: Simplify right side
    3,138.64x = 4,460,320.13
  5. Step 5: Solve for x
    x = 4,460,320.13/3,138.64
  6. Step 6: Final answer
    x = 1,421.10

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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.