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Finding the Fourth Proportional to 15,830.76, 23,751.90 and 7,513.32

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Solution

The fourth proportional to 15,830.76, 23,751.90 and 7,513.32 is: 11,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.76 : 23,751.90 = 7,513.32 : x
  2. Step 2: Convert to fraction form
    15,830.76/23,751.90 = 7,513.32/x
  3. Step 3: Cross multiply
    15,830.76x = 23,751.90 × 7,513.32
  4. Step 4: Simplify right side
    15,830.76x = 178,455,625.31
  5. Step 5: Solve for x
    x = 178,455,625.31/15,830.76
  6. Step 6: Final answer
    x = 11,272.71

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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.