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Finding the Fourth Proportional to 10,486.62, 14,472.56 and 7,829.42

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Solution

The fourth proportional to 10,486.62, 14,472.56 and 7,829.42 is: 10,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.62 : 14,472.56 = 7,829.42 : x
  2. Step 2: Convert to fraction form
    10,486.62/14,472.56 = 7,829.42/x
  3. Step 3: Cross multiply
    10,486.62x = 14,472.56 × 7,829.42
  4. Step 4: Simplify right side
    10,486.62x = 113,311,639.21
  5. Step 5: Solve for x
    x = 113,311,639.21/10,486.62
  6. Step 6: Final answer
    x = 10,805.35

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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.