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Finding the Fourth Proportional to 3,567.65, 5,347.76 and 1,377.88

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Solution

The fourth proportional to 3,567.65, 5,347.76 and 1,377.88 is: 2,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.65 : 5,347.76 = 1,377.88 : x
  2. Step 2: Convert to fraction form
    3,567.65/5,347.76 = 1,377.88/x
  3. Step 3: Cross multiply
    3,567.65x = 5,347.76 × 1,377.88
  4. Step 4: Simplify right side
    3,567.65x = 7,368,551.29
  5. Step 5: Solve for x
    x = 7,368,551.29/3,567.65
  6. Step 6: Final answer
    x = 2,065.38

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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.