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Finding the Fourth Proportional to 2,851.93, 4,278.62 and 904.15

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Solution

The fourth proportional to 2,851.93, 4,278.62 and 904.15 is: 1,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.93 : 4,278.62 = 904.15 : x
  2. Step 2: Convert to fraction form
    2,851.93/4,278.62 = 904.15/x
  3. Step 3: Cross multiply
    2,851.93x = 4,278.62 × 904.15
  4. Step 4: Simplify right side
    2,851.93x = 3,868,509.75
  5. Step 5: Solve for x
    x = 3,868,509.75/2,851.93
  6. Step 6: Final answer
    x = 1,356.45

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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.