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Finding the Fourth Proportional to 5,140, 7,710.12 and 1,677.24

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Solution

The fourth proportional to 5,140, 7,710.12 and 1,677.24 is: 2,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,710.12 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    5,140/7,710.12 = 1,677.24/x
  3. Step 3: Cross multiply
    5,140x = 7,710.12 × 1,677.24
  4. Step 4: Simplify right side
    5,140x = 12,931,721.67
  5. Step 5: Solve for x
    x = 12,931,721.67/5,140
  6. Step 6: Final answer
    x = 2,515.90

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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.