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Finding the Fourth Proportional to 5,281.12, 7,928.16 and 4,840.48

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Solution

The fourth proportional to 5,281.12, 7,928.16 and 4,840.48 is: 7,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.12 : 7,928.16 = 4,840.48 : x
  2. Step 2: Convert to fraction form
    5,281.12/7,928.16 = 4,840.48/x
  3. Step 3: Cross multiply
    5,281.12x = 7,928.16 × 4,840.48
  4. Step 4: Simplify right side
    5,281.12x = 38,376,099.92
  5. Step 5: Solve for x
    x = 38,376,099.92/5,281.12
  6. Step 6: Final answer
    x = 7,266.66

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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.