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Finding the Fourth Proportional to 10,868.78, 16,303.20 and 4,712.78

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Solution

The fourth proportional to 10,868.78, 16,303.20 and 4,712.78 is: 7,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.78 : 16,303.20 = 4,712.78 : x
  2. Step 2: Convert to fraction form
    10,868.78/16,303.20 = 4,712.78/x
  3. Step 3: Cross multiply
    10,868.78x = 16,303.20 × 4,712.78
  4. Step 4: Simplify right side
    10,868.78x = 76,833,394.90
  5. Step 5: Solve for x
    x = 76,833,394.90/10,868.78
  6. Step 6: Final answer
    x = 7,069.18

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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.