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Finding the Fourth Proportional to 2,678.00, 3,697.11 and 1,798.47

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Solution

The fourth proportional to 2,678.00, 3,697.11 and 1,798.47 is: 2,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.00 : 3,697.11 = 1,798.47 : x
  2. Step 2: Convert to fraction form
    2,678.00/3,697.11 = 1,798.47/x
  3. Step 3: Cross multiply
    2,678.00x = 3,697.11 × 1,798.47
  4. Step 4: Simplify right side
    2,678.00x = 6,649,141.42
  5. Step 5: Solve for x
    x = 6,649,141.42/2,678.00
  6. Step 6: Final answer
    x = 2,482.88

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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.