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Finding the Fourth Proportional to 32,820, 45,292.70 and 17,916

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Solution

The fourth proportional to 32,820, 45,292.70 and 17,916 is: 24,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820 : 45,292.70 = 17,916 : x
  2. Step 2: Convert to fraction form
    32,820/45,292.70 = 17,916/x
  3. Step 3: Cross multiply
    32,820x = 45,292.70 × 17,916
  4. Step 4: Simplify right side
    32,820x = 811,464,013.20
  5. Step 5: Solve for x
    x = 811,464,013.20/32,820
  6. Step 6: Final answer
    x = 24,724.68

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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.