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Finding the Fourth Proportional to 7,886.35, 10,882.80 and 4,526.80

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Solution

The fourth proportional to 7,886.35, 10,882.80 and 4,526.80 is: 6,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.35 : 10,882.80 = 4,526.80 : x
  2. Step 2: Convert to fraction form
    7,886.35/10,882.80 = 4,526.80/x
  3. Step 3: Cross multiply
    7,886.35x = 10,882.80 × 4,526.80
  4. Step 4: Simplify right side
    7,886.35x = 49,264,259.04
  5. Step 5: Solve for x
    x = 49,264,259.04/7,886.35
  6. Step 6: Final answer
    x = 6,246.78

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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.