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Finding the Fourth Proportional to 3,390, 5,075.76 and 2,565.78

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Solution

The fourth proportional to 3,390, 5,075.76 and 2,565.78 is: 3,841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390 : 5,075.76 = 2,565.78 : x
  2. Step 2: Convert to fraction form
    3,390/5,075.76 = 2,565.78/x
  3. Step 3: Cross multiply
    3,390x = 5,075.76 × 2,565.78
  4. Step 4: Simplify right side
    3,390x = 13,023,283.49
  5. Step 5: Solve for x
    x = 13,023,283.49/3,390
  6. Step 6: Final answer
    x = 3,841.68

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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.