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Finding the Fourth Proportional to 11,132.40, 15,362.40 and 6,164.40

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Solution

The fourth proportional to 11,132.40, 15,362.40 and 6,164.40 is: 8,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.40 : 15,362.40 = 6,164.40 : x
  2. Step 2: Convert to fraction form
    11,132.40/15,362.40 = 6,164.40/x
  3. Step 3: Cross multiply
    11,132.40x = 15,362.40 × 6,164.40
  4. Step 4: Simplify right side
    11,132.40x = 94,699,978.56
  5. Step 5: Solve for x
    x = 94,699,978.56/11,132.40
  6. Step 6: Final answer
    x = 8,506.70

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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.