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Finding the Fourth Proportional to 22,425.76, 30,947.16 and 12,995.20

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Solution

The fourth proportional to 22,425.76, 30,947.16 and 12,995.20 is: 17,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.76 : 30,947.16 = 12,995.20 : x
  2. Step 2: Convert to fraction form
    22,425.76/30,947.16 = 12,995.20/x
  3. Step 3: Cross multiply
    22,425.76x = 30,947.16 × 12,995.20
  4. Step 4: Simplify right side
    22,425.76x = 402,164,533.63
  5. Step 5: Solve for x
    x = 402,164,533.63/22,425.76
  6. Step 6: Final answer
    x = 17,933.15

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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.