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Finding the Fourth Proportional to 21,614.08, 32,434.08 and 7,764.16

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Solution

The fourth proportional to 21,614.08, 32,434.08 and 7,764.16 is: 11,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.08 : 32,434.08 = 7,764.16 : x
  2. Step 2: Convert to fraction form
    21,614.08/32,434.08 = 7,764.16/x
  3. Step 3: Cross multiply
    21,614.08x = 32,434.08 × 7,764.16
  4. Step 4: Simplify right side
    21,614.08x = 251,823,386.57
  5. Step 5: Solve for x
    x = 251,823,386.57/21,614.08
  6. Step 6: Final answer
    x = 11,650.90

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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.