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Finding the Fourth Proportional to 25,627, 38,457.60 and 8,987.02

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Solution

The fourth proportional to 25,627, 38,457.60 and 8,987.02 is: 13,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627 : 38,457.60 = 8,987.02 : x
  2. Step 2: Convert to fraction form
    25,627/38,457.60 = 8,987.02/x
  3. Step 3: Cross multiply
    25,627x = 38,457.60 × 8,987.02
  4. Step 4: Simplify right side
    25,627x = 345,619,220.35
  5. Step 5: Solve for x
    x = 345,619,220.35/25,627
  6. Step 6: Final answer
    x = 13,486.53

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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.