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Finding the Fourth Proportional to 10,468.50, 15,709.95 and 4,312.50

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Solution

The fourth proportional to 10,468.50, 15,709.95 and 4,312.50 is: 6,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.50 : 15,709.95 = 4,312.50 : x
  2. Step 2: Convert to fraction form
    10,468.50/15,709.95 = 4,312.50/x
  3. Step 3: Cross multiply
    10,468.50x = 15,709.95 × 4,312.50
  4. Step 4: Simplify right side
    10,468.50x = 67,749,159.38
  5. Step 5: Solve for x
    x = 67,749,159.38/10,468.50
  6. Step 6: Final answer
    x = 6,471.72

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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.