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Finding the Fourth Proportional to 1,528.67, 2,109.44 and 865.69

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Solution

The fourth proportional to 1,528.67, 2,109.44 and 865.69 is: 1,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.67 : 2,109.44 = 865.69 : x
  2. Step 2: Convert to fraction form
    1,528.67/2,109.44 = 865.69/x
  3. Step 3: Cross multiply
    1,528.67x = 2,109.44 × 865.69
  4. Step 4: Simplify right side
    1,528.67x = 1,826,118.00
  5. Step 5: Solve for x
    x = 1,826,118.00/1,528.67
  6. Step 6: Final answer
    x = 1,194.58

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1.5x scale

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.