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Finding the Fourth Proportional to 3,470.94, 5,203.17 and 1,278.18

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Solution

The fourth proportional to 3,470.94, 5,203.17 and 1,278.18 is: 1,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.94 : 5,203.17 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    3,470.94/5,203.17 = 1,278.18/x
  3. Step 3: Cross multiply
    3,470.94x = 5,203.17 × 1,278.18
  4. Step 4: Simplify right side
    3,470.94x = 6,650,587.83
  5. Step 5: Solve for x
    x = 6,650,587.83/3,470.94
  6. Step 6: Final answer
    x = 1,916.08

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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.