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Finding the Fourth Proportional to 29,090.32, 40,145 and 15,842.32

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Solution

The fourth proportional to 29,090.32, 40,145 and 15,842.32 is: 21,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,090.32 : 40,145 = 15,842.32 : x
  2. Step 2: Convert to fraction form
    29,090.32/40,145 = 15,842.32/x
  3. Step 3: Cross multiply
    29,090.32x = 40,145 × 15,842.32
  4. Step 4: Simplify right side
    29,090.32x = 635,989,936.40
  5. Step 5: Solve for x
    x = 635,989,936.40/29,090.32
  6. Step 6: Final answer
    x = 21,862.60

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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.