Home / 2,038.21-3,054.80-1,161.45

Finding the Fourth Proportional to 2,038.21, 3,054.80 and 1,161.45

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Solution

The fourth proportional to 2,038.21, 3,054.80 and 1,161.45 is: 1,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.21 : 3,054.80 = 1,161.45 : x
  2. Step 2: Convert to fraction form
    2,038.21/3,054.80 = 1,161.45/x
  3. Step 3: Cross multiply
    2,038.21x = 3,054.80 × 1,161.45
  4. Step 4: Simplify right side
    2,038.21x = 3,547,997.46
  5. Step 5: Solve for x
    x = 3,547,997.46/2,038.21
  6. Step 6: Final answer
    x = 1,740.74

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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.