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Finding the Fourth Proportional to 2,459.85, 3,690.18 and 816.17

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Solution

The fourth proportional to 2,459.85, 3,690.18 and 816.17 is: 1,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.85 : 3,690.18 = 816.17 : x
  2. Step 2: Convert to fraction form
    2,459.85/3,690.18 = 816.17/x
  3. Step 3: Cross multiply
    2,459.85x = 3,690.18 × 816.17
  4. Step 4: Simplify right side
    2,459.85x = 3,011,795.76
  5. Step 5: Solve for x
    x = 3,011,795.76/2,459.85
  6. Step 6: Final answer
    x = 1,224.38

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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.