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Finding the Fourth Proportional to 7,192.16, 9,923.76 and 4,543.20

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Solution

The fourth proportional to 7,192.16, 9,923.76 and 4,543.20 is: 6,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.16 : 9,923.76 = 4,543.20 : x
  2. Step 2: Convert to fraction form
    7,192.16/9,923.76 = 4,543.20/x
  3. Step 3: Cross multiply
    7,192.16x = 9,923.76 × 4,543.20
  4. Step 4: Simplify right side
    7,192.16x = 45,085,626.43
  5. Step 5: Solve for x
    x = 45,085,626.43/7,192.16
  6. Step 6: Final answer
    x = 6,268.72

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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.