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Finding the Fourth Proportional to 21,582.90, 32,378.44 and 8,434.44

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Solution

The fourth proportional to 21,582.90, 32,378.44 and 8,434.44 is: 12,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.90 : 32,378.44 = 8,434.44 : x
  2. Step 2: Convert to fraction form
    21,582.90/32,378.44 = 8,434.44/x
  3. Step 3: Cross multiply
    21,582.90x = 32,378.44 × 8,434.44
  4. Step 4: Simplify right side
    21,582.90x = 273,094,009.47
  5. Step 5: Solve for x
    x = 273,094,009.47/21,582.90
  6. Step 6: Final answer
    x = 12,653.26

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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.