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Finding the Fourth Proportional to 6,543.76, 9,811 and 3,079.12

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Solution

The fourth proportional to 6,543.76, 9,811 and 3,079.12 is: 4,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.76 : 9,811 = 3,079.12 : x
  2. Step 2: Convert to fraction form
    6,543.76/9,811 = 3,079.12/x
  3. Step 3: Cross multiply
    6,543.76x = 9,811 × 3,079.12
  4. Step 4: Simplify right side
    6,543.76x = 30,209,246.32
  5. Step 5: Solve for x
    x = 30,209,246.32/6,543.76
  6. Step 6: Final answer
    x = 4,616.50

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1.5x scale

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.