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Finding the Fourth Proportional to 6,602.40, 9,881.20 and 4,007.20

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Solution

The fourth proportional to 6,602.40, 9,881.20 and 4,007.20 is: 5,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.40 : 9,881.20 = 4,007.20 : x
  2. Step 2: Convert to fraction form
    6,602.40/9,881.20 = 4,007.20/x
  3. Step 3: Cross multiply
    6,602.40x = 9,881.20 × 4,007.20
  4. Step 4: Simplify right side
    6,602.40x = 39,595,944.64
  5. Step 5: Solve for x
    x = 39,595,944.64/6,602.40
  6. Step 6: Final answer
    x = 5,997.20

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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.