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Finding the Fourth Proportional to 10,575.74, 15,864 and 3,556

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Solution

The fourth proportional to 10,575.74, 15,864 and 3,556 is: 5,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.74 : 15,864 = 3,556 : x
  2. Step 2: Convert to fraction form
    10,575.74/15,864 = 3,556/x
  3. Step 3: Cross multiply
    10,575.74x = 15,864 × 3,556
  4. Step 4: Simplify right side
    10,575.74x = 56,412,384
  5. Step 5: Solve for x
    x = 56,412,384/10,575.74
  6. Step 6: Final answer
    x = 5,334.13

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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.