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Finding the Fourth Proportional to 10,078.83, 13,907.83 and 9,335.79

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Solution

The fourth proportional to 10,078.83, 13,907.83 and 9,335.79 is: 12,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.83 : 13,907.83 = 9,335.79 : x
  2. Step 2: Convert to fraction form
    10,078.83/13,907.83 = 9,335.79/x
  3. Step 3: Cross multiply
    10,078.83x = 13,907.83 × 9,335.79
  4. Step 4: Simplify right side
    10,078.83x = 129,840,580.24
  5. Step 5: Solve for x
    x = 129,840,580.24/10,078.83
  6. Step 6: Final answer
    x = 12,882.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.