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Finding the Fourth Proportional to 1,432.70, 2,007.40 and 1,432.70

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Solution

The fourth proportional to 1,432.70, 2,007.40 and 1,432.70 is: 2,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.70 : 2,007.40 = 1,432.70 : x
  2. Step 2: Convert to fraction form
    1,432.70/2,007.40 = 1,432.70/x
  3. Step 3: Cross multiply
    1,432.70x = 2,007.40 × 1,432.70
  4. Step 4: Simplify right side
    1,432.70x = 2,876,001.98
  5. Step 5: Solve for x
    x = 2,876,001.98/1,432.70
  6. Step 6: Final answer
    x = 2,007.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.