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Finding the Fourth Proportional to 10,408.52, 14,346.90 and 8,135.90

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Solution

The fourth proportional to 10,408.52, 14,346.90 and 8,135.90 is: 11,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.52 : 14,346.90 = 8,135.90 : x
  2. Step 2: Convert to fraction form
    10,408.52/14,346.90 = 8,135.90/x
  3. Step 3: Cross multiply
    10,408.52x = 14,346.90 × 8,135.90
  4. Step 4: Simplify right side
    10,408.52x = 116,724,943.71
  5. Step 5: Solve for x
    x = 116,724,943.71/10,408.52
  6. Step 6: Final answer
    x = 11,214.37

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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.