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Finding the Fourth Proportional to 12,616.19, 17,417.33 and 7,581.63

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Solution

The fourth proportional to 12,616.19, 17,417.33 and 7,581.63 is: 10,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.19 : 17,417.33 = 7,581.63 : x
  2. Step 2: Convert to fraction form
    12,616.19/17,417.33 = 7,581.63/x
  3. Step 3: Cross multiply
    12,616.19x = 17,417.33 × 7,581.63
  4. Step 4: Simplify right side
    12,616.19x = 132,051,713.74
  5. Step 5: Solve for x
    x = 132,051,713.74/12,616.19
  6. Step 6: Final answer
    x = 10,466.85

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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.