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Finding the Fourth Proportional to 7,643.57, 10,543.16 and 4,990.01

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Solution

The fourth proportional to 7,643.57, 10,543.16 and 4,990.01 is: 6,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.57 : 10,543.16 = 4,990.01 : x
  2. Step 2: Convert to fraction form
    7,643.57/10,543.16 = 4,990.01/x
  3. Step 3: Cross multiply
    7,643.57x = 10,543.16 × 4,990.01
  4. Step 4: Simplify right side
    7,643.57x = 52,610,433.59
  5. Step 5: Solve for x
    x = 52,610,433.59/7,643.57
  6. Step 6: Final answer
    x = 6,882.97

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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.