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Finding the Fourth Proportional to 10,471.12, 14,462.97 and 7,830.28

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Solution

The fourth proportional to 10,471.12, 14,462.97 and 7,830.28 is: 10,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.12 : 14,462.97 = 7,830.28 : x
  2. Step 2: Convert to fraction form
    10,471.12/14,462.97 = 7,830.28/x
  3. Step 3: Cross multiply
    10,471.12x = 14,462.97 × 7,830.28
  4. Step 4: Simplify right side
    10,471.12x = 113,249,104.73
  5. Step 5: Solve for x
    x = 113,249,104.73/10,471.12
  6. Step 6: Final answer
    x = 10,815.38

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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.