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Finding the Fourth Proportional to 4,972.39, 7,459.49 and 1,685.21

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Solution

The fourth proportional to 4,972.39, 7,459.49 and 1,685.21 is: 2,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.39 : 7,459.49 = 1,685.21 : x
  2. Step 2: Convert to fraction form
    4,972.39/7,459.49 = 1,685.21/x
  3. Step 3: Cross multiply
    4,972.39x = 7,459.49 × 1,685.21
  4. Step 4: Simplify right side
    4,972.39x = 12,570,774.06
  5. Step 5: Solve for x
    x = 12,570,774.06/4,972.39
  6. Step 6: Final answer
    x = 2,528.12

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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.