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Finding the Fourth Proportional to 25,851, 38,776.50 and 8,322.60

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Solution

The fourth proportional to 25,851, 38,776.50 and 8,322.60 is: 12,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851 : 38,776.50 = 8,322.60 : x
  2. Step 2: Convert to fraction form
    25,851/38,776.50 = 8,322.60/x
  3. Step 3: Cross multiply
    25,851x = 38,776.50 × 8,322.60
  4. Step 4: Simplify right side
    25,851x = 322,721,298.90
  5. Step 5: Solve for x
    x = 322,721,298.90/25,851
  6. Step 6: Final answer
    x = 12,483.90

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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.