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Finding the Fourth Proportional to 1,293.62, 1,787.04 and 1,031.30

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Solution

The fourth proportional to 1,293.62, 1,787.04 and 1,031.30 is: 1,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.62 : 1,787.04 = 1,031.30 : x
  2. Step 2: Convert to fraction form
    1,293.62/1,787.04 = 1,031.30/x
  3. Step 3: Cross multiply
    1,293.62x = 1,787.04 × 1,031.30
  4. Step 4: Simplify right side
    1,293.62x = 1,842,974.35
  5. Step 5: Solve for x
    x = 1,842,974.35/1,293.62
  6. Step 6: Final answer
    x = 1,424.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.