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Finding the Fourth Proportional to 7,242.78, 9,995.42 and 4,409.70

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Solution

The fourth proportional to 7,242.78, 9,995.42 and 4,409.70 is: 6,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.78 : 9,995.42 = 4,409.70 : x
  2. Step 2: Convert to fraction form
    7,242.78/9,995.42 = 4,409.70/x
  3. Step 3: Cross multiply
    7,242.78x = 9,995.42 × 4,409.70
  4. Step 4: Simplify right side
    7,242.78x = 44,076,803.57
  5. Step 5: Solve for x
    x = 44,076,803.57/7,242.78
  6. Step 6: Final answer
    x = 6,085.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.