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Finding the Fourth Proportional to 9,417.79, 14,138.97 and 7,966.16

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Solution

The fourth proportional to 9,417.79, 14,138.97 and 7,966.16 is: 11,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.79 : 14,138.97 = 7,966.16 : x
  2. Step 2: Convert to fraction form
    9,417.79/14,138.97 = 7,966.16/x
  3. Step 3: Cross multiply
    9,417.79x = 14,138.97 × 7,966.16
  4. Step 4: Simplify right side
    9,417.79x = 112,633,297.26
  5. Step 5: Solve for x
    x = 112,633,297.26/9,417.79
  6. Step 6: Final answer
    x = 11,959.63

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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.