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Finding the Fourth Proportional to 10,854.96, 14,974.92 and 6,820.08

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Solution

The fourth proportional to 10,854.96, 14,974.92 and 6,820.08 is: 9,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.96 : 14,974.92 = 6,820.08 : x
  2. Step 2: Convert to fraction form
    10,854.96/14,974.92 = 6,820.08/x
  3. Step 3: Cross multiply
    10,854.96x = 14,974.92 × 6,820.08
  4. Step 4: Simplify right side
    10,854.96x = 102,130,152.39
  5. Step 5: Solve for x
    x = 102,130,152.39/10,854.96
  6. Step 6: Final answer
    x = 9,408.62

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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.