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Finding the Fourth Proportional to 1,888.16, 2,604.87 and 1,189.13

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Solution

The fourth proportional to 1,888.16, 2,604.87 and 1,189.13 is: 1,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.16 : 2,604.87 = 1,189.13 : x
  2. Step 2: Convert to fraction form
    1,888.16/2,604.87 = 1,189.13/x
  3. Step 3: Cross multiply
    1,888.16x = 2,604.87 × 1,189.13
  4. Step 4: Simplify right side
    1,888.16x = 3,097,516.04
  5. Step 5: Solve for x
    x = 3,097,516.04/1,888.16
  6. Step 6: Final answer
    x = 1,640.50

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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.