Home / 1,948.96-2,923.36-488.13

Finding the Fourth Proportional to 1,948.96, 2,923.36 and 488.13

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Solution

The fourth proportional to 1,948.96, 2,923.36 and 488.13 is: 732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.96 : 2,923.36 = 488.13 : x
  2. Step 2: Convert to fraction form
    1,948.96/2,923.36 = 488.13/x
  3. Step 3: Cross multiply
    1,948.96x = 2,923.36 × 488.13
  4. Step 4: Simplify right side
    1,948.96x = 1,426,979.72
  5. Step 5: Solve for x
    x = 1,426,979.72/1,948.96
  6. Step 6: Final answer
    x = 732.17

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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.