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Finding the Fourth Proportional to 15,205.44, 20,978.58 and 8,490

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Solution

The fourth proportional to 15,205.44, 20,978.58 and 8,490 is: 11,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.44 : 20,978.58 = 8,490 : x
  2. Step 2: Convert to fraction form
    15,205.44/20,978.58 = 8,490/x
  3. Step 3: Cross multiply
    15,205.44x = 20,978.58 × 8,490
  4. Step 4: Simplify right side
    15,205.44x = 178,108,144.20
  5. Step 5: Solve for x
    x = 178,108,144.20/15,205.44
  6. Step 6: Final answer
    x = 11,713.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.