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Finding the Fourth Proportional to 5,140.80, 7,718.40 and 4,046.40

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Solution

The fourth proportional to 5,140.80, 7,718.40 and 4,046.40 is: 6,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.80 : 7,718.40 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    5,140.80/7,718.40 = 4,046.40/x
  3. Step 3: Cross multiply
    5,140.80x = 7,718.40 × 4,046.40
  4. Step 4: Simplify right side
    5,140.80x = 31,231,733.76
  5. Step 5: Solve for x
    x = 31,231,733.76/5,140.80
  6. Step 6: Final answer
    x = 6,075.27

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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.