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Finding the Fourth Proportional to 1,430.48, 1,972.32 and 932.92

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Solution

The fourth proportional to 1,430.48, 1,972.32 and 932.92 is: 1,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.48 : 1,972.32 = 932.92 : x
  2. Step 2: Convert to fraction form
    1,430.48/1,972.32 = 932.92/x
  3. Step 3: Cross multiply
    1,430.48x = 1,972.32 × 932.92
  4. Step 4: Simplify right side
    1,430.48x = 1,840,016.77
  5. Step 5: Solve for x
    x = 1,840,016.77/1,430.48
  6. Step 6: Final answer
    x = 1,286.29

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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.