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Finding the Fourth Proportional to 1,585.09, 2,187.09 and 921.59

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Solution

The fourth proportional to 1,585.09, 2,187.09 and 921.59 is: 1,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.09 : 2,187.09 = 921.59 : x
  2. Step 2: Convert to fraction form
    1,585.09/2,187.09 = 921.59/x
  3. Step 3: Cross multiply
    1,585.09x = 2,187.09 × 921.59
  4. Step 4: Simplify right side
    1,585.09x = 2,015,595.67
  5. Step 5: Solve for x
    x = 2,015,595.67/1,585.09
  6. Step 6: Final answer
    x = 1,271.60

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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.