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Finding the Fourth Proportional to 17,885.84, 26,821.52 and 5,402

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Solution

The fourth proportional to 17,885.84, 26,821.52 and 5,402 is: 8,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.84 : 26,821.52 = 5,402 : x
  2. Step 2: Convert to fraction form
    17,885.84/26,821.52 = 5,402/x
  3. Step 3: Cross multiply
    17,885.84x = 26,821.52 × 5,402
  4. Step 4: Simplify right side
    17,885.84x = 144,889,851.04
  5. Step 5: Solve for x
    x = 144,889,851.04/17,885.84
  6. Step 6: Final answer
    x = 8,100.81

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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.