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Finding the Fourth Proportional to 1,556.20, 2,147.54 and 893.42

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Solution

The fourth proportional to 1,556.20, 2,147.54 and 893.42 is: 1,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.20 : 2,147.54 = 893.42 : x
  2. Step 2: Convert to fraction form
    1,556.20/2,147.54 = 893.42/x
  3. Step 3: Cross multiply
    1,556.20x = 2,147.54 × 893.42
  4. Step 4: Simplify right side
    1,556.20x = 1,918,655.19
  5. Step 5: Solve for x
    x = 1,918,655.19/1,556.20
  6. Step 6: Final answer
    x = 1,232.91

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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.