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Finding the Fourth Proportional to 11,132.31, 15,372.99 and 7,160.31

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Solution

The fourth proportional to 11,132.31, 15,372.99 and 7,160.31 is: 9,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.31 : 15,372.99 = 7,160.31 : x
  2. Step 2: Convert to fraction form
    11,132.31/15,372.99 = 7,160.31/x
  3. Step 3: Cross multiply
    11,132.31x = 15,372.99 × 7,160.31
  4. Step 4: Simplify right side
    11,132.31x = 110,075,431.68
  5. Step 5: Solve for x
    x = 110,075,431.68/11,132.31
  6. Step 6: Final answer
    x = 9,887.93

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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.