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Finding the Fourth Proportional to 8,750, 13,130.76 and 4,133.36

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Solution

The fourth proportional to 8,750, 13,130.76 and 4,133.36 is: 6,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750 : 13,130.76 = 4,133.36 : x
  2. Step 2: Convert to fraction form
    8,750/13,130.76 = 4,133.36/x
  3. Step 3: Cross multiply
    8,750x = 13,130.76 × 4,133.36
  4. Step 4: Simplify right side
    8,750x = 54,274,158.15
  5. Step 5: Solve for x
    x = 54,274,158.15/8,750
  6. Step 6: Final answer
    x = 6,202.76

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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.