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Finding the Fourth Proportional to 10,353.68, 14,288.10 and 5,638

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Solution

The fourth proportional to 10,353.68, 14,288.10 and 5,638 is: 7,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.68 : 14,288.10 = 5,638 : x
  2. Step 2: Convert to fraction form
    10,353.68/14,288.10 = 5,638/x
  3. Step 3: Cross multiply
    10,353.68x = 14,288.10 × 5,638
  4. Step 4: Simplify right side
    10,353.68x = 80,556,307.80
  5. Step 5: Solve for x
    x = 80,556,307.80/10,353.68
  6. Step 6: Final answer
    x = 7,780.45

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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.