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Finding the Fourth Proportional to 23,698.40, 35,569.20 and 20,415.20

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Solution

The fourth proportional to 23,698.40, 35,569.20 and 20,415.20 is: 30,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.40 : 35,569.20 = 20,415.20 : x
  2. Step 2: Convert to fraction form
    23,698.40/35,569.20 = 20,415.20/x
  3. Step 3: Cross multiply
    23,698.40x = 35,569.20 × 20,415.20
  4. Step 4: Simplify right side
    23,698.40x = 726,152,331.84
  5. Step 5: Solve for x
    x = 726,152,331.84/23,698.40
  6. Step 6: Final answer
    x = 30,641.41

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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.