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Finding the Fourth Proportional to 8,274.36, 12,417.72 and 5,159.04

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Solution

The fourth proportional to 8,274.36, 12,417.72 and 5,159.04 is: 7,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.36 : 12,417.72 = 5,159.04 : x
  2. Step 2: Convert to fraction form
    8,274.36/12,417.72 = 5,159.04/x
  3. Step 3: Cross multiply
    8,274.36x = 12,417.72 × 5,159.04
  4. Step 4: Simplify right side
    8,274.36x = 64,063,514.19
  5. Step 5: Solve for x
    x = 64,063,514.19/8,274.36
  6. Step 6: Final answer
    x = 7,742.41

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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.