Home / 1,471.25-2,030.52-948.80

Finding the Fourth Proportional to 1,471.25, 2,030.52 and 948.80

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Solution

The fourth proportional to 1,471.25, 2,030.52 and 948.80 is: 1,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.25 : 2,030.52 = 948.80 : x
  2. Step 2: Convert to fraction form
    1,471.25/2,030.52 = 948.80/x
  3. Step 3: Cross multiply
    1,471.25x = 2,030.52 × 948.80
  4. Step 4: Simplify right side
    1,471.25x = 1,926,547.22
  5. Step 5: Solve for x
    x = 1,926,547.22/1,471.25
  6. Step 6: Final answer
    x = 1,309.47

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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.