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Finding the Fourth Proportional to 10,863.32, 14,992.98 and 6,884.81

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Solution

The fourth proportional to 10,863.32, 14,992.98 and 6,884.81 is: 9,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.32 : 14,992.98 = 6,884.81 : x
  2. Step 2: Convert to fraction form
    10,863.32/14,992.98 = 6,884.81/x
  3. Step 3: Cross multiply
    10,863.32x = 14,992.98 × 6,884.81
  4. Step 4: Simplify right side
    10,863.32x = 103,223,818.63
  5. Step 5: Solve for x
    x = 103,223,818.63/10,863.32
  6. Step 6: Final answer
    x = 9,502.05

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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.