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Finding the Fourth Proportional to 15,128, 22,675.76 and 7,319.60

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Solution

The fourth proportional to 15,128, 22,675.76 and 7,319.60 is: 10,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,128 : 22,675.76 = 7,319.60 : x
  2. Step 2: Convert to fraction form
    15,128/22,675.76 = 7,319.60/x
  3. Step 3: Cross multiply
    15,128x = 22,675.76 × 7,319.60
  4. Step 4: Simplify right side
    15,128x = 165,977,492.90
  5. Step 5: Solve for x
    x = 165,977,492.90/15,128
  6. Step 6: Final answer
    x = 10,971.54

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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.