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Finding the Fourth Proportional to 10,093.60, 15,140.40 and 9,186.40

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Solution

The fourth proportional to 10,093.60, 15,140.40 and 9,186.40 is: 13,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.60 : 15,140.40 = 9,186.40 : x
  2. Step 2: Convert to fraction form
    10,093.60/15,140.40 = 9,186.40/x
  3. Step 3: Cross multiply
    10,093.60x = 15,140.40 × 9,186.40
  4. Step 4: Simplify right side
    10,093.60x = 139,085,770.56
  5. Step 5: Solve for x
    x = 139,085,770.56/10,093.60
  6. Step 6: Final answer
    x = 13,779.60

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Similar ratio
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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.