Home / 1,528.40-2,109.21-865.23

Finding the Fourth Proportional to 1,528.40, 2,109.21 and 865.23

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Solution

The fourth proportional to 1,528.40, 2,109.21 and 865.23 is: 1,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.40 : 2,109.21 = 865.23 : x
  2. Step 2: Convert to fraction form
    1,528.40/2,109.21 = 865.23/x
  3. Step 3: Cross multiply
    1,528.40x = 2,109.21 × 865.23
  4. Step 4: Simplify right side
    1,528.40x = 1,824,951.77
  5. Step 5: Solve for x
    x = 1,824,951.77/1,528.40
  6. Step 6: Final answer
    x = 1,194.03

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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.