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Finding the Fourth Proportional to 15,680.56, 23,514 and 4,587

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Solution

The fourth proportional to 15,680.56, 23,514 and 4,587 is: 6,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,680.56 : 23,514 = 4,587 : x
  2. Step 2: Convert to fraction form
    15,680.56/23,514 = 4,587/x
  3. Step 3: Cross multiply
    15,680.56x = 23,514 × 4,587
  4. Step 4: Simplify right side
    15,680.56x = 107,858,718
  5. Step 5: Solve for x
    x = 107,858,718/15,680.56
  6. Step 6: Final answer
    x = 6,878.50

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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.