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Finding the Fourth Proportional to 5,624, 7,761.48 and 3,140

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Solution

The fourth proportional to 5,624, 7,761.48 and 3,140 is: 4,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624 : 7,761.48 = 3,140 : x
  2. Step 2: Convert to fraction form
    5,624/7,761.48 = 3,140/x
  3. Step 3: Cross multiply
    5,624x = 7,761.48 × 3,140
  4. Step 4: Simplify right side
    5,624x = 24,371,047.20
  5. Step 5: Solve for x
    x = 24,371,047.20/5,624
  6. Step 6: Final answer
    x = 4,333.40

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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.