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Finding the Fourth Proportional to 10,490.62, 14,478.08 and 7,833.42

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Solution

The fourth proportional to 10,490.62, 14,478.08 and 7,833.42 is: 10,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.62 : 14,478.08 = 7,833.42 : x
  2. Step 2: Convert to fraction form
    10,490.62/14,478.08 = 7,833.42/x
  3. Step 3: Cross multiply
    10,490.62x = 14,478.08 × 7,833.42
  4. Step 4: Simplify right side
    10,490.62x = 113,412,881.43
  5. Step 5: Solve for x
    x = 113,412,881.43/10,490.62
  6. Step 6: Final answer
    x = 10,810.88

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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.