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Finding the Fourth Proportional to 6,454.40, 9,681.59 and 2,072.50

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Solution

The fourth proportional to 6,454.40, 9,681.59 and 2,072.50 is: 3,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.40 : 9,681.59 = 2,072.50 : x
  2. Step 2: Convert to fraction form
    6,454.40/9,681.59 = 2,072.50/x
  3. Step 3: Cross multiply
    6,454.40x = 9,681.59 × 2,072.50
  4. Step 4: Simplify right side
    6,454.40x = 20,065,076.25
  5. Step 5: Solve for x
    x = 20,065,076.25/6,454.40
  6. Step 6: Final answer
    x = 3,108.75

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Similar ratio
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1.5x scale

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.