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Finding the Fourth Proportional to 11,535.66, 15,920.40 and 7,062.38

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Solution

The fourth proportional to 11,535.66, 15,920.40 and 7,062.38 is: 9,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.66 : 15,920.40 = 7,062.38 : x
  2. Step 2: Convert to fraction form
    11,535.66/15,920.40 = 7,062.38/x
  3. Step 3: Cross multiply
    11,535.66x = 15,920.40 × 7,062.38
  4. Step 4: Simplify right side
    11,535.66x = 112,435,914.55
  5. Step 5: Solve for x
    x = 112,435,914.55/11,535.66
  6. Step 6: Final answer
    x = 9,746.81

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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.