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Finding the Fourth Proportional to 5,640, 7,781.40 and 3,652.08

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Solution

The fourth proportional to 5,640, 7,781.40 and 3,652.08 is: 5,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 7,781.40 = 3,652.08 : x
  2. Step 2: Convert to fraction form
    5,640/7,781.40 = 3,652.08/x
  3. Step 3: Cross multiply
    5,640x = 7,781.40 × 3,652.08
  4. Step 4: Simplify right side
    5,640x = 28,418,295.31
  5. Step 5: Solve for x
    x = 28,418,295.31/5,640
  6. Step 6: Final answer
    x = 5,038.70

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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.