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Finding the Fourth Proportional to 11,090, 15,299.60 and 7,317.38

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Solution

The fourth proportional to 11,090, 15,299.60 and 7,317.38 is: 10,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090 : 15,299.60 = 7,317.38 : x
  2. Step 2: Convert to fraction form
    11,090/15,299.60 = 7,317.38/x
  3. Step 3: Cross multiply
    11,090x = 15,299.60 × 7,317.38
  4. Step 4: Simplify right side
    11,090x = 111,952,987.05
  5. Step 5: Solve for x
    x = 111,952,987.05/11,090
  6. Step 6: Final answer
    x = 10,094.95

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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.