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Finding the Fourth Proportional to 2,972.95, 4,457.91 and 997.90

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Solution

The fourth proportional to 2,972.95, 4,457.91 and 997.90 is: 1,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.95 : 4,457.91 = 997.90 : x
  2. Step 2: Convert to fraction form
    2,972.95/4,457.91 = 997.90/x
  3. Step 3: Cross multiply
    2,972.95x = 4,457.91 × 997.90
  4. Step 4: Simplify right side
    2,972.95x = 4,448,548.39
  5. Step 5: Solve for x
    x = 4,448,548.39/2,972.95
  6. Step 6: Final answer
    x = 1,496.34

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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.