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Finding the Fourth Proportional to 15,878.16, 23,821.85 and 7,111.01

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Solution

The fourth proportional to 15,878.16, 23,821.85 and 7,111.01 is: 10,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.16 : 23,821.85 = 7,111.01 : x
  2. Step 2: Convert to fraction form
    15,878.16/23,821.85 = 7,111.01/x
  3. Step 3: Cross multiply
    15,878.16x = 23,821.85 × 7,111.01
  4. Step 4: Simplify right side
    15,878.16x = 169,397,490.90
  5. Step 5: Solve for x
    x = 169,397,490.90/15,878.16
  6. Step 6: Final answer
    x = 10,668.58

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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.