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Finding the Fourth Proportional to 29,130, 40,199.44 and 15,882

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Solution

The fourth proportional to 29,130, 40,199.44 and 15,882 is: 21,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,130 : 40,199.44 = 15,882 : x
  2. Step 2: Convert to fraction form
    29,130/40,199.44 = 15,882/x
  3. Step 3: Cross multiply
    29,130x = 40,199.44 × 15,882
  4. Step 4: Simplify right side
    29,130x = 638,447,506.08
  5. Step 5: Solve for x
    x = 638,447,506.08/29,130
  6. Step 6: Final answer
    x = 21,917.18

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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.