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Finding the Fourth Proportional to 3,877.59, 5,814.57 and 1,798.57

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Solution

The fourth proportional to 3,877.59, 5,814.57 and 1,798.57 is: 2,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.59 : 5,814.57 = 1,798.57 : x
  2. Step 2: Convert to fraction form
    3,877.59/5,814.57 = 1,798.57/x
  3. Step 3: Cross multiply
    3,877.59x = 5,814.57 × 1,798.57
  4. Step 4: Simplify right side
    3,877.59x = 10,457,911.16
  5. Step 5: Solve for x
    x = 10,457,911.16/3,877.59
  6. Step 6: Final answer
    x = 2,697.01

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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.