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Finding the Fourth Proportional to 2,565.80, 3,848.70 and 2,425.40

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Solution

The fourth proportional to 2,565.80, 3,848.70 and 2,425.40 is: 3,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.80 : 3,848.70 = 2,425.40 : x
  2. Step 2: Convert to fraction form
    2,565.80/3,848.70 = 2,425.40/x
  3. Step 3: Cross multiply
    2,565.80x = 3,848.70 × 2,425.40
  4. Step 4: Simplify right side
    2,565.80x = 9,334,636.98
  5. Step 5: Solve for x
    x = 9,334,636.98/2,565.80
  6. Step 6: Final answer
    x = 3,638.10

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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.