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Finding the Fourth Proportional to 9,612.50, 14,399.60 and 6,315.60

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Solution

The fourth proportional to 9,612.50, 14,399.60 and 6,315.60 is: 9,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.50 : 14,399.60 = 6,315.60 : x
  2. Step 2: Convert to fraction form
    9,612.50/14,399.60 = 6,315.60/x
  3. Step 3: Cross multiply
    9,612.50x = 14,399.60 × 6,315.60
  4. Step 4: Simplify right side
    9,612.50x = 90,942,113.76
  5. Step 5: Solve for x
    x = 90,942,113.76/9,612.50
  6. Step 6: Final answer
    x = 9,460.82

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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.