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Finding the Fourth Proportional to 6,470.80, 9,684.33 and 5,377.30

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Solution

The fourth proportional to 6,470.80, 9,684.33 and 5,377.30 is: 8,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.80 : 9,684.33 = 5,377.30 : x
  2. Step 2: Convert to fraction form
    6,470.80/9,684.33 = 5,377.30/x
  3. Step 3: Cross multiply
    6,470.80x = 9,684.33 × 5,377.30
  4. Step 4: Simplify right side
    6,470.80x = 52,075,547.71
  5. Step 5: Solve for x
    x = 52,075,547.71/6,470.80
  6. Step 6: Final answer
    x = 8,047.78

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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.