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Finding the Fourth Proportional to 1,947.08, 2,920.12 and 560.42

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Solution

The fourth proportional to 1,947.08, 2,920.12 and 560.42 is: 840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.08 : 2,920.12 = 560.42 : x
  2. Step 2: Convert to fraction form
    1,947.08/2,920.12 = 560.42/x
  3. Step 3: Cross multiply
    1,947.08x = 2,920.12 × 560.42
  4. Step 4: Simplify right side
    1,947.08x = 1,636,493.65
  5. Step 5: Solve for x
    x = 1,636,493.65/1,947.08
  6. Step 6: Final answer
    x = 840.49

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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.