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Finding the Fourth Proportional to 10,156, 14,002.23 and 8,454.40

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Solution

The fourth proportional to 10,156, 14,002.23 and 8,454.40 is: 11,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156 : 14,002.23 = 8,454.40 : x
  2. Step 2: Convert to fraction form
    10,156/14,002.23 = 8,454.40/x
  3. Step 3: Cross multiply
    10,156x = 14,002.23 × 8,454.40
  4. Step 4: Simplify right side
    10,156x = 118,380,453.31
  5. Step 5: Solve for x
    x = 118,380,453.31/10,156
  6. Step 6: Final answer
    x = 11,656.21

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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.