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Finding the Fourth Proportional to 1,816.26, 2,719.47 and 948.75

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Solution

The fourth proportional to 1,816.26, 2,719.47 and 948.75 is: 1,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.26 : 2,719.47 = 948.75 : x
  2. Step 2: Convert to fraction form
    1,816.26/2,719.47 = 948.75/x
  3. Step 3: Cross multiply
    1,816.26x = 2,719.47 × 948.75
  4. Step 4: Simplify right side
    1,816.26x = 2,580,090.52
  5. Step 5: Solve for x
    x = 2,580,090.52/1,816.26
  6. Step 6: Final answer
    x = 1,420.55

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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.