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Finding the Fourth Proportional to 1,471.52, 2,030.76 and 842.24

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Solution

The fourth proportional to 1,471.52, 2,030.76 and 842.24 is: 1,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.52 : 2,030.76 = 842.24 : x
  2. Step 2: Convert to fraction form
    1,471.52/2,030.76 = 842.24/x
  3. Step 3: Cross multiply
    1,471.52x = 2,030.76 × 842.24
  4. Step 4: Simplify right side
    1,471.52x = 1,710,387.30
  5. Step 5: Solve for x
    x = 1,710,387.30/1,471.52
  6. Step 6: Final answer
    x = 1,162.33

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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.