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Finding the Fourth Proportional to 1,802.88, 2,487.97 and 974.88

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Solution

The fourth proportional to 1,802.88, 2,487.97 and 974.88 is: 1,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.88 : 2,487.97 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,802.88/2,487.97 = 974.88/x
  3. Step 3: Cross multiply
    1,802.88x = 2,487.97 × 974.88
  4. Step 4: Simplify right side
    1,802.88x = 2,425,472.19
  5. Step 5: Solve for x
    x = 2,425,472.19/1,802.88
  6. Step 6: Final answer
    x = 1,345.33

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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.