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Finding the Fourth Proportional to 2,553.17, 3,828.67 and 971.62

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Solution

The fourth proportional to 2,553.17, 3,828.67 and 971.62 is: 1,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.17 : 3,828.67 = 971.62 : x
  2. Step 2: Convert to fraction form
    2,553.17/3,828.67 = 971.62/x
  3. Step 3: Cross multiply
    2,553.17x = 3,828.67 × 971.62
  4. Step 4: Simplify right side
    2,553.17x = 3,720,011.11
  5. Step 5: Solve for x
    x = 3,720,011.11/2,553.17
  6. Step 6: Final answer
    x = 1,457.02

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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.