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Finding the Fourth Proportional to 1,473.54, 2,209.95 and 989.52

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Solution

The fourth proportional to 1,473.54, 2,209.95 and 989.52 is: 1,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.54 : 2,209.95 = 989.52 : x
  2. Step 2: Convert to fraction form
    1,473.54/2,209.95 = 989.52/x
  3. Step 3: Cross multiply
    1,473.54x = 2,209.95 × 989.52
  4. Step 4: Simplify right side
    1,473.54x = 2,186,789.72
  5. Step 5: Solve for x
    x = 2,186,789.72/1,473.54
  6. Step 6: Final answer
    x = 1,484.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.