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Finding the Fourth Proportional to 2,592.97, 3,889.47 and 645.18

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Solution

The fourth proportional to 2,592.97, 3,889.47 and 645.18 is: 967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.97 : 3,889.47 = 645.18 : x
  2. Step 2: Convert to fraction form
    2,592.97/3,889.47 = 645.18/x
  3. Step 3: Cross multiply
    2,592.97x = 3,889.47 × 645.18
  4. Step 4: Simplify right side
    2,592.97x = 2,509,393.67
  5. Step 5: Solve for x
    x = 2,509,393.67/2,592.97
  6. Step 6: Final answer
    x = 967.77

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Double scale
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Similar ratio
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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.