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Finding the Fourth Proportional to 6,437.12, 8,881.72 and 4,078.40

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Solution

The fourth proportional to 6,437.12, 8,881.72 and 4,078.40 is: 5,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.12 : 8,881.72 = 4,078.40 : x
  2. Step 2: Convert to fraction form
    6,437.12/8,881.72 = 4,078.40/x
  3. Step 3: Cross multiply
    6,437.12x = 8,881.72 × 4,078.40
  4. Step 4: Simplify right side
    6,437.12x = 36,223,206.85
  5. Step 5: Solve for x
    x = 36,223,206.85/6,437.12
  6. Step 6: Final answer
    x = 5,627.24

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