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Finding the Fourth Proportional to 1,556.91, 2,148.50 and 927.74

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Solution

The fourth proportional to 1,556.91, 2,148.50 and 927.74 is: 1,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.91 : 2,148.50 = 927.74 : x
  2. Step 2: Convert to fraction form
    1,556.91/2,148.50 = 927.74/x
  3. Step 3: Cross multiply
    1,556.91x = 2,148.50 × 927.74
  4. Step 4: Simplify right side
    1,556.91x = 1,993,234.01
  5. Step 5: Solve for x
    x = 1,993,234.01/1,556.91
  6. Step 6: Final answer
    x = 1,280.25

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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.