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Finding the Fourth Proportional to 1,530.81, 2,112.48 and 858.60

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Solution

The fourth proportional to 1,530.81, 2,112.48 and 858.60 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.81 : 2,112.48 = 858.60 : x
  2. Step 2: Convert to fraction form
    1,530.81/2,112.48 = 858.60/x
  3. Step 3: Cross multiply
    1,530.81x = 2,112.48 × 858.60
  4. Step 4: Simplify right side
    1,530.81x = 1,813,775.33
  5. Step 5: Solve for x
    x = 1,813,775.33/1,530.81
  6. Step 6: Final answer
    x = 1,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.