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Finding the Fourth Proportional to 10,961.76, 16,442.64 and 9,314.40

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Solution

The fourth proportional to 10,961.76, 16,442.64 and 9,314.40 is: 13,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.76 : 16,442.64 = 9,314.40 : x
  2. Step 2: Convert to fraction form
    10,961.76/16,442.64 = 9,314.40/x
  3. Step 3: Cross multiply
    10,961.76x = 16,442.64 × 9,314.40
  4. Step 4: Simplify right side
    10,961.76x = 153,153,326.02
  5. Step 5: Solve for x
    x = 153,153,326.02/10,961.76
  6. Step 6: Final answer
    x = 13,971.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.