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Finding the Fourth Proportional to 5,673.10, 8,509.65 and 1,777.81

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Solution

The fourth proportional to 5,673.10, 8,509.65 and 1,777.81 is: 2,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.10 : 8,509.65 = 1,777.81 : x
  2. Step 2: Convert to fraction form
    5,673.10/8,509.65 = 1,777.81/x
  3. Step 3: Cross multiply
    5,673.10x = 8,509.65 × 1,777.81
  4. Step 4: Simplify right side
    5,673.10x = 15,128,540.87
  5. Step 5: Solve for x
    x = 15,128,540.87/5,673.10
  6. Step 6: Final answer
    x = 2,666.72

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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.