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Finding the Fourth Proportional to 2,612.84, 3,605.68 and 1,417.80

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Solution

The fourth proportional to 2,612.84, 3,605.68 and 1,417.80 is: 1,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.84 : 3,605.68 = 1,417.80 : x
  2. Step 2: Convert to fraction form
    2,612.84/3,605.68 = 1,417.80/x
  3. Step 3: Cross multiply
    2,612.84x = 3,605.68 × 1,417.80
  4. Step 4: Simplify right side
    2,612.84x = 5,112,133.10
  5. Step 5: Solve for x
    x = 5,112,133.10/2,612.84
  6. Step 6: Final answer
    x = 1,956.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.