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Finding the Fourth Proportional to 21,859.48, 32,782.26 and 7,064.86

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Solution

The fourth proportional to 21,859.48, 32,782.26 and 7,064.86 is: 10,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.48 : 32,782.26 = 7,064.86 : x
  2. Step 2: Convert to fraction form
    21,859.48/32,782.26 = 7,064.86/x
  3. Step 3: Cross multiply
    21,859.48x = 32,782.26 × 7,064.86
  4. Step 4: Simplify right side
    21,859.48x = 231,602,077.38
  5. Step 5: Solve for x
    x = 231,602,077.38/21,859.48
  6. Step 6: Final answer
    x = 10,595.04

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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.