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Finding the Fourth Proportional to 2,565.66, 3,848.07 and 716.34

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Solution

The fourth proportional to 2,565.66, 3,848.07 and 716.34 is: 1,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.66 : 3,848.07 = 716.34 : x
  2. Step 2: Convert to fraction form
    2,565.66/3,848.07 = 716.34/x
  3. Step 3: Cross multiply
    2,565.66x = 3,848.07 × 716.34
  4. Step 4: Simplify right side
    2,565.66x = 2,756,526.46
  5. Step 5: Solve for x
    x = 2,756,526.46/2,565.66
  6. Step 6: Final answer
    x = 1,074.39

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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.