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Finding the Fourth Proportional to 10,409.50, 15,630.09 and 9,092.50

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Solution

The fourth proportional to 10,409.50, 15,630.09 and 9,092.50 is: 13,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.50 : 15,630.09 = 9,092.50 : x
  2. Step 2: Convert to fraction form
    10,409.50/15,630.09 = 9,092.50/x
  3. Step 3: Cross multiply
    10,409.50x = 15,630.09 × 9,092.50
  4. Step 4: Simplify right side
    10,409.50x = 142,116,520.15
  5. Step 5: Solve for x
    x = 142,116,520.15/10,409.50
  6. Step 6: Final answer
    x = 13,652.58

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1.5x scale

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.