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Finding the Fourth Proportional to 30,423.36, 45,649.92 and 17,088

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Solution

The fourth proportional to 30,423.36, 45,649.92 and 17,088 is: 25,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.36 : 45,649.92 = 17,088 : x
  2. Step 2: Convert to fraction form
    30,423.36/45,649.92 = 17,088/x
  3. Step 3: Cross multiply
    30,423.36x = 45,649.92 × 17,088
  4. Step 4: Simplify right side
    30,423.36x = 780,065,832.96
  5. Step 5: Solve for x
    x = 780,065,832.96/30,423.36
  6. Step 6: Final answer
    x = 25,640.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.