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Finding the Fourth Proportional to 7,864.70, 10,857.65 and 6,191.64

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Solution

The fourth proportional to 7,864.70, 10,857.65 and 6,191.64 is: 8,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.70 : 10,857.65 = 6,191.64 : x
  2. Step 2: Convert to fraction form
    7,864.70/10,857.65 = 6,191.64/x
  3. Step 3: Cross multiply
    7,864.70x = 10,857.65 × 6,191.64
  4. Step 4: Simplify right side
    7,864.70x = 67,226,629.09
  5. Step 5: Solve for x
    x = 67,226,629.09/7,864.70
  6. Step 6: Final answer
    x = 8,547.90

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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.