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Finding the Fourth Proportional to 9,612, 14,423.76 and 4,140

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Solution

The fourth proportional to 9,612, 14,423.76 and 4,140 is: 6,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 14,423.76 = 4,140 : x
  2. Step 2: Convert to fraction form
    9,612/14,423.76 = 4,140/x
  3. Step 3: Cross multiply
    9,612x = 14,423.76 × 4,140
  4. Step 4: Simplify right side
    9,612x = 59,714,366.40
  5. Step 5: Solve for x
    x = 59,714,366.40/9,612
  6. Step 6: Final answer
    x = 6,212.48

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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.