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Finding the Fourth Proportional to 5,673.43, 8,509.74 and 1,777.78

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Solution

The fourth proportional to 5,673.43, 8,509.74 and 1,777.78 is: 2,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.43 : 8,509.74 = 1,777.78 : x
  2. Step 2: Convert to fraction form
    5,673.43/8,509.74 = 1,777.78/x
  3. Step 3: Cross multiply
    5,673.43x = 8,509.74 × 1,777.78
  4. Step 4: Simplify right side
    5,673.43x = 15,128,445.58
  5. Step 5: Solve for x
    x = 15,128,445.58/5,673.43
  6. Step 6: Final answer
    x = 2,666.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.