Home / 1,610.90-2,223.57-947.72

Finding the Fourth Proportional to 1,610.90, 2,223.57 and 947.72

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Solution

The fourth proportional to 1,610.90, 2,223.57 and 947.72 is: 1,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.90 : 2,223.57 = 947.72 : x
  2. Step 2: Convert to fraction form
    1,610.90/2,223.57 = 947.72/x
  3. Step 3: Cross multiply
    1,610.90x = 2,223.57 × 947.72
  4. Step 4: Simplify right side
    1,610.90x = 2,107,321.76
  5. Step 5: Solve for x
    x = 2,107,321.76/1,610.90
  6. Step 6: Final answer
    x = 1,308.16

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1.5x scale

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.