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Finding the Fourth Proportional to 1,800.37, 2,697.57 and 824.32

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Solution

The fourth proportional to 1,800.37, 2,697.57 and 824.32 is: 1,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.37 : 2,697.57 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,800.37/2,697.57 = 824.32/x
  3. Step 3: Cross multiply
    1,800.37x = 2,697.57 × 824.32
  4. Step 4: Simplify right side
    1,800.37x = 2,223,647.41
  5. Step 5: Solve for x
    x = 2,223,647.41/1,800.37
  6. Step 6: Final answer
    x = 1,235.11

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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.