Home / 1,471.76-2,030.28-1,121.84

Finding the Fourth Proportional to 1,471.76, 2,030.28 and 1,121.84

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Solution

The fourth proportional to 1,471.76, 2,030.28 and 1,121.84 is: 1,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,030.28 = 1,121.84 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,030.28 = 1,121.84/x
  3. Step 3: Cross multiply
    1,471.76x = 2,030.28 × 1,121.84
  4. Step 4: Simplify right side
    1,471.76x = 2,277,649.32
  5. Step 5: Solve for x
    x = 2,277,649.32/1,471.76
  6. Step 6: Final answer
    x = 1,547.57

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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.