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Finding the Fourth Proportional to 15,130.26, 22,675.68 and 7,728.48

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Solution

The fourth proportional to 15,130.26, 22,675.68 and 7,728.48 is: 11,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.26 : 22,675.68 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    15,130.26/22,675.68 = 7,728.48/x
  3. Step 3: Cross multiply
    15,130.26x = 22,675.68 × 7,728.48
  4. Step 4: Simplify right side
    15,130.26x = 175,248,539.37
  5. Step 5: Solve for x
    x = 175,248,539.37/15,130.26
  6. Step 6: Final answer
    x = 11,582.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.