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Finding the Fourth Proportional to 3,138.47, 4,707.74 and 947.29

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Solution

The fourth proportional to 3,138.47, 4,707.74 and 947.29 is: 1,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.47 : 4,707.74 = 947.29 : x
  2. Step 2: Convert to fraction form
    3,138.47/4,707.74 = 947.29/x
  3. Step 3: Cross multiply
    3,138.47x = 4,707.74 × 947.29
  4. Step 4: Simplify right side
    3,138.47x = 4,459,590.29
  5. Step 5: Solve for x
    x = 4,459,590.29/3,138.47
  6. Step 6: Final answer
    x = 1,420.95

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1.5x scale

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.