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Finding the Fourth Proportional to 10,408.80, 14,368.80 and 7,891.20

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Solution

The fourth proportional to 10,408.80, 14,368.80 and 7,891.20 is: 10,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.80 : 14,368.80 = 7,891.20 : x
  2. Step 2: Convert to fraction form
    10,408.80/14,368.80 = 7,891.20/x
  3. Step 3: Cross multiply
    10,408.80x = 14,368.80 × 7,891.20
  4. Step 4: Simplify right side
    10,408.80x = 113,387,074.56
  5. Step 5: Solve for x
    x = 113,387,074.56/10,408.80
  6. Step 6: Final answer
    x = 10,893.39

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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.