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Finding the Fourth Proportional to 16,780, 25,172.88 and 5,094.40

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Solution

The fourth proportional to 16,780, 25,172.88 and 5,094.40 is: 7,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 25,172.88 = 5,094.40 : x
  2. Step 2: Convert to fraction form
    16,780/25,172.88 = 5,094.40/x
  3. Step 3: Cross multiply
    16,780x = 25,172.88 × 5,094.40
  4. Step 4: Simplify right side
    16,780x = 128,240,719.87
  5. Step 5: Solve for x
    x = 128,240,719.87/16,780
  6. Step 6: Final answer
    x = 7,642.47

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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.