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Finding the Fourth Proportional to 2,478.94, 3,717.06 and 1,019.14

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Solution

The fourth proportional to 2,478.94, 3,717.06 and 1,019.14 is: 1,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.94 : 3,717.06 = 1,019.14 : x
  2. Step 2: Convert to fraction form
    2,478.94/3,717.06 = 1,019.14/x
  3. Step 3: Cross multiply
    2,478.94x = 3,717.06 × 1,019.14
  4. Step 4: Simplify right side
    2,478.94x = 3,788,204.53
  5. Step 5: Solve for x
    x = 3,788,204.53/2,478.94
  6. Step 6: Final answer
    x = 1,528.15

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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.