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Finding the Fourth Proportional to 7,868.62, 11,800.48 and 2,602.45

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Solution

The fourth proportional to 7,868.62, 11,800.48 and 2,602.45 is: 3,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.62 : 11,800.48 = 2,602.45 : x
  2. Step 2: Convert to fraction form
    7,868.62/11,800.48 = 2,602.45/x
  3. Step 3: Cross multiply
    7,868.62x = 11,800.48 × 2,602.45
  4. Step 4: Simplify right side
    7,868.62x = 30,710,159.18
  5. Step 5: Solve for x
    x = 30,710,159.18/7,868.62
  6. Step 6: Final answer
    x = 3,902.86

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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.