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Finding the Fourth Proportional to 12,290, 16,961.48 and 7,574.16

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Solution

The fourth proportional to 12,290, 16,961.48 and 7,574.16 is: 10,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290 : 16,961.48 = 7,574.16 : x
  2. Step 2: Convert to fraction form
    12,290/16,961.48 = 7,574.16/x
  3. Step 3: Cross multiply
    12,290x = 16,961.48 × 7,574.16
  4. Step 4: Simplify right side
    12,290x = 128,468,963.36
  5. Step 5: Solve for x
    x = 128,468,963.36/12,290
  6. Step 6: Final answer
    x = 10,453.13

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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.