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Finding the Fourth Proportional to 7,803.72, 10,711.80 and 6,899.76

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Solution

The fourth proportional to 7,803.72, 10,711.80 and 6,899.76 is: 9,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.72 : 10,711.80 = 6,899.76 : x
  2. Step 2: Convert to fraction form
    7,803.72/10,711.80 = 6,899.76/x
  3. Step 3: Cross multiply
    7,803.72x = 10,711.80 × 6,899.76
  4. Step 4: Simplify right side
    7,803.72x = 73,908,849.17
  5. Step 5: Solve for x
    x = 73,908,849.17/7,803.72
  6. Step 6: Final answer
    x = 9,470.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.