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Finding the Fourth Proportional to 10,143, 15,216.93 and 3,217.50

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Solution

The fourth proportional to 10,143, 15,216.93 and 3,217.50 is: 4,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 15,216.93 = 3,217.50 : x
  2. Step 2: Convert to fraction form
    10,143/15,216.93 = 3,217.50/x
  3. Step 3: Cross multiply
    10,143x = 15,216.93 × 3,217.50
  4. Step 4: Simplify right side
    10,143x = 48,960,472.28
  5. Step 5: Solve for x
    x = 48,960,472.28/10,143
  6. Step 6: Final answer
    x = 4,827.02

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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.