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Finding the Fourth Proportional to 1,550.61, 2,139.80 and 842.41

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Solution

The fourth proportional to 1,550.61, 2,139.80 and 842.41 is: 1,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.61 : 2,139.80 = 842.41 : x
  2. Step 2: Convert to fraction form
    1,550.61/2,139.80 = 842.41/x
  3. Step 3: Cross multiply
    1,550.61x = 2,139.80 × 842.41
  4. Step 4: Simplify right side
    1,550.61x = 1,802,587.38
  5. Step 5: Solve for x
    x = 1,802,587.38/1,550.61
  6. Step 6: Final answer
    x = 1,162.50

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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.