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Finding the Fourth Proportional to 21,720.32, 32,574 and 7,677.76

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Solution

The fourth proportional to 21,720.32, 32,574 and 7,677.76 is: 11,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720.32 : 32,574 = 7,677.76 : x
  2. Step 2: Convert to fraction form
    21,720.32/32,574 = 7,677.76/x
  3. Step 3: Cross multiply
    21,720.32x = 32,574 × 7,677.76
  4. Step 4: Simplify right side
    21,720.32x = 250,095,354.24
  5. Step 5: Solve for x
    x = 250,095,354.24/21,720.32
  6. Step 6: Final answer
    x = 11,514.35

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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.