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Finding the Fourth Proportional to 2,852.02, 4,278 and 904.17

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Solution

The fourth proportional to 2,852.02, 4,278 and 904.17 is: 1,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.02 : 4,278 = 904.17 : x
  2. Step 2: Convert to fraction form
    2,852.02/4,278 = 904.17/x
  3. Step 3: Cross multiply
    2,852.02x = 4,278 × 904.17
  4. Step 4: Simplify right side
    2,852.02x = 3,868,039.26
  5. Step 5: Solve for x
    x = 3,868,039.26/2,852.02
  6. Step 6: Final answer
    x = 1,356.25

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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.