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Finding the Fourth Proportional to 21,714.80, 32,574.26 and 7,674.72

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Solution

The fourth proportional to 21,714.80, 32,574.26 and 7,674.72 is: 11,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.80 : 32,574.26 = 7,674.72 : x
  2. Step 2: Convert to fraction form
    21,714.80/32,574.26 = 7,674.72/x
  3. Step 3: Cross multiply
    21,714.80x = 32,574.26 × 7,674.72
  4. Step 4: Simplify right side
    21,714.80x = 249,998,324.71
  5. Step 5: Solve for x
    x = 249,998,324.71/21,714.80
  6. Step 6: Final answer
    x = 11,512.81

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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.