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Finding the Fourth Proportional to 7,884.86, 10,870.64 and 6,535.43

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Solution

The fourth proportional to 7,884.86, 10,870.64 and 6,535.43 is: 9,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.86 : 10,870.64 = 6,535.43 : x
  2. Step 2: Convert to fraction form
    7,884.86/10,870.64 = 6,535.43/x
  3. Step 3: Cross multiply
    7,884.86x = 10,870.64 × 6,535.43
  4. Step 4: Simplify right side
    7,884.86x = 71,044,252.42
  5. Step 5: Solve for x
    x = 71,044,252.42/7,884.86
  6. Step 6: Final answer
    x = 9,010.21

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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.