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Finding the Fourth Proportional to 5,097.62, 7,646.65 and 1,400.21

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Solution

The fourth proportional to 5,097.62, 7,646.65 and 1,400.21 is: 2,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.62 : 7,646.65 = 1,400.21 : x
  2. Step 2: Convert to fraction form
    5,097.62/7,646.65 = 1,400.21/x
  3. Step 3: Cross multiply
    5,097.62x = 7,646.65 × 1,400.21
  4. Step 4: Simplify right side
    5,097.62x = 10,706,915.80
  5. Step 5: Solve for x
    x = 10,706,915.80/5,097.62
  6. Step 6: Final answer
    x = 2,100.38

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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.