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Finding the Fourth Proportional to 7,224.78, 9,970.39 and 4,240.74

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Solution

The fourth proportional to 7,224.78, 9,970.39 and 4,240.74 is: 5,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.78 : 9,970.39 = 4,240.74 : x
  2. Step 2: Convert to fraction form
    7,224.78/9,970.39 = 4,240.74/x
  3. Step 3: Cross multiply
    7,224.78x = 9,970.39 × 4,240.74
  4. Step 4: Simplify right side
    7,224.78x = 42,281,831.69
  5. Step 5: Solve for x
    x = 42,281,831.69/7,224.78
  6. Step 6: Final answer
    x = 5,852.33

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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.