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Finding the Fourth Proportional to 8,971.04, 13,439.82 and 6,499.82

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Solution

The fourth proportional to 8,971.04, 13,439.82 and 6,499.82 is: 9,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.04 : 13,439.82 = 6,499.82 : x
  2. Step 2: Convert to fraction form
    8,971.04/13,439.82 = 6,499.82/x
  3. Step 3: Cross multiply
    8,971.04x = 13,439.82 × 6,499.82
  4. Step 4: Simplify right side
    8,971.04x = 87,356,410.83
  5. Step 5: Solve for x
    x = 87,356,410.83/8,971.04
  6. Step 6: Final answer
    x = 9,737.60

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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.