Home / 1,221.90-1,830.15-947.10

Finding the Fourth Proportional to 1,221.90, 1,830.15 and 947.10

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Solution

The fourth proportional to 1,221.90, 1,830.15 and 947.10 is: 1,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.90 : 1,830.15 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,221.90/1,830.15 = 947.10/x
  3. Step 3: Cross multiply
    1,221.90x = 1,830.15 × 947.10
  4. Step 4: Simplify right side
    1,221.90x = 1,733,335.07
  5. Step 5: Solve for x
    x = 1,733,335.07/1,221.90
  6. Step 6: Final answer
    x = 1,418.56

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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.