Home / 1,610.09-2,221.92-947.32

Finding the Fourth Proportional to 1,610.09, 2,221.92 and 947.32

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Solution

The fourth proportional to 1,610.09, 2,221.92 and 947.32 is: 1,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.09 : 2,221.92 = 947.32 : x
  2. Step 2: Convert to fraction form
    1,610.09/2,221.92 = 947.32/x
  3. Step 3: Cross multiply
    1,610.09x = 2,221.92 × 947.32
  4. Step 4: Simplify right side
    1,610.09x = 2,104,869.25
  5. Step 5: Solve for x
    x = 2,104,869.25/1,610.09
  6. Step 6: Final answer
    x = 1,307.30

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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.