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Finding the Fourth Proportional to 29,428, 40,610.64 and 16,180

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Solution

The fourth proportional to 29,428, 40,610.64 and 16,180 is: 22,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428 : 40,610.64 = 16,180 : x
  2. Step 2: Convert to fraction form
    29,428/40,610.64 = 16,180/x
  3. Step 3: Cross multiply
    29,428x = 40,610.64 × 16,180
  4. Step 4: Simplify right side
    29,428x = 657,080,155.20
  5. Step 5: Solve for x
    x = 657,080,155.20/29,428
  6. Step 6: Final answer
    x = 22,328.40

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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.