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Finding the Fourth Proportional to 6,407.58, 8,840 and 3,888.78

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Solution

The fourth proportional to 6,407.58, 8,840 and 3,888.78 is: 5,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.58 : 8,840 = 3,888.78 : x
  2. Step 2: Convert to fraction form
    6,407.58/8,840 = 3,888.78/x
  3. Step 3: Cross multiply
    6,407.58x = 8,840 × 3,888.78
  4. Step 4: Simplify right side
    6,407.58x = 34,376,815.20
  5. Step 5: Solve for x
    x = 34,376,815.20/6,407.58
  6. Step 6: Final answer
    x = 5,365.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.