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Finding the Fourth Proportional to 1,557.81, 2,149.74 and 894.65

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Solution

The fourth proportional to 1,557.81, 2,149.74 and 894.65 is: 1,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.81 : 2,149.74 = 894.65 : x
  2. Step 2: Convert to fraction form
    1,557.81/2,149.74 = 894.65/x
  3. Step 3: Cross multiply
    1,557.81x = 2,149.74 × 894.65
  4. Step 4: Simplify right side
    1,557.81x = 1,923,254.14
  5. Step 5: Solve for x
    x = 1,923,254.14/1,557.81
  6. Step 6: Final answer
    x = 1,234.59

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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.