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Finding the Fourth Proportional to 2,851.36, 4,277.68 and 903.68

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Solution

The fourth proportional to 2,851.36, 4,277.68 and 903.68 is: 1,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.36 : 4,277.68 = 903.68 : x
  2. Step 2: Convert to fraction form
    2,851.36/4,277.68 = 903.68/x
  3. Step 3: Cross multiply
    2,851.36x = 4,277.68 × 903.68
  4. Step 4: Simplify right side
    2,851.36x = 3,865,653.86
  5. Step 5: Solve for x
    x = 3,865,653.86/2,851.36
  6. Step 6: Final answer
    x = 1,355.72

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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.