Home / 1,923.30-2,884.65-536.49

Finding the Fourth Proportional to 1,923.30, 2,884.65 and 536.49

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Solution

The fourth proportional to 1,923.30, 2,884.65 and 536.49 is: 804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.30 : 2,884.65 = 536.49 : x
  2. Step 2: Convert to fraction form
    1,923.30/2,884.65 = 536.49/x
  3. Step 3: Cross multiply
    1,923.30x = 2,884.65 × 536.49
  4. Step 4: Simplify right side
    1,923.30x = 1,547,585.88
  5. Step 5: Solve for x
    x = 1,547,585.88/1,923.30
  6. Step 6: Final answer
    x = 804.65

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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.