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Finding the Fourth Proportional to 10,577, 15,865.50 and 4,421

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Solution

The fourth proportional to 10,577, 15,865.50 and 4,421 is: 6,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577 : 15,865.50 = 4,421 : x
  2. Step 2: Convert to fraction form
    10,577/15,865.50 = 4,421/x
  3. Step 3: Cross multiply
    10,577x = 15,865.50 × 4,421
  4. Step 4: Simplify right side
    10,577x = 70,141,375.50
  5. Step 5: Solve for x
    x = 70,141,375.50/10,577
  6. Step 6: Final answer
    x = 6,631.50

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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.