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Finding the Fourth Proportional to 11,340, 15,639.12 and 7,357.32

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Solution

The fourth proportional to 11,340, 15,639.12 and 7,357.32 is: 10,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 15,639.12 = 7,357.32 : x
  2. Step 2: Convert to fraction form
    11,340/15,639.12 = 7,357.32/x
  3. Step 3: Cross multiply
    11,340x = 15,639.12 × 7,357.32
  4. Step 4: Simplify right side
    11,340x = 115,062,010.36
  5. Step 5: Solve for x
    x = 115,062,010.36/11,340
  6. Step 6: Final answer
    x = 10,146.56

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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.