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Finding the Fourth Proportional to 7,239.60, 9,990.28 and 4,878

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Solution

The fourth proportional to 7,239.60, 9,990.28 and 4,878 is: 6,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.60 : 9,990.28 = 4,878 : x
  2. Step 2: Convert to fraction form
    7,239.60/9,990.28 = 4,878/x
  3. Step 3: Cross multiply
    7,239.60x = 9,990.28 × 4,878
  4. Step 4: Simplify right side
    7,239.60x = 48,732,585.84
  5. Step 5: Solve for x
    x = 48,732,585.84/7,239.60
  6. Step 6: Final answer
    x = 6,731.39

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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.