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Finding the Fourth Proportional to 10,393.84, 15,581.04 and 3,818.26

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Solution

The fourth proportional to 10,393.84, 15,581.04 and 3,818.26 is: 5,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.84 : 15,581.04 = 3,818.26 : x
  2. Step 2: Convert to fraction form
    10,393.84/15,581.04 = 3,818.26/x
  3. Step 3: Cross multiply
    10,393.84x = 15,581.04 × 3,818.26
  4. Step 4: Simplify right side
    10,393.84x = 59,492,461.79
  5. Step 5: Solve for x
    x = 59,492,461.79/10,393.84
  6. Step 6: Final answer
    x = 5,723.82

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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.