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Finding the Fourth Proportional to 21,925.76, 32,888 and 8,774.40

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Solution

The fourth proportional to 21,925.76, 32,888 and 8,774.40 is: 13,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.76 : 32,888 = 8,774.40 : x
  2. Step 2: Convert to fraction form
    21,925.76/32,888 = 8,774.40/x
  3. Step 3: Cross multiply
    21,925.76x = 32,888 × 8,774.40
  4. Step 4: Simplify right side
    21,925.76x = 288,572,467.20
  5. Step 5: Solve for x
    x = 288,572,467.20/21,925.76
  6. Step 6: Final answer
    x = 13,161.34

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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.