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Finding the Fourth Proportional to 7,151.87, 9,864 and 4,316.28

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Solution

The fourth proportional to 7,151.87, 9,864 and 4,316.28 is: 5,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.87 : 9,864 = 4,316.28 : x
  2. Step 2: Convert to fraction form
    7,151.87/9,864 = 4,316.28/x
  3. Step 3: Cross multiply
    7,151.87x = 9,864 × 4,316.28
  4. Step 4: Simplify right side
    7,151.87x = 42,575,785.92
  5. Step 5: Solve for x
    x = 42,575,785.92/7,151.87
  6. Step 6: Final answer
    x = 5,953.10

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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.