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Finding the Fourth Proportional to 1,849.97, 2,775.60 and 972.74

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Solution

The fourth proportional to 1,849.97, 2,775.60 and 972.74 is: 1,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.97 : 2,775.60 = 972.74 : x
  2. Step 2: Convert to fraction form
    1,849.97/2,775.60 = 972.74/x
  3. Step 3: Cross multiply
    1,849.97x = 2,775.60 × 972.74
  4. Step 4: Simplify right side
    1,849.97x = 2,699,944.08
  5. Step 5: Solve for x
    x = 2,699,944.08/1,849.97
  6. Step 6: Final answer
    x = 1,459.45

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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.