Home / 1,645.85-2,271.34-947.22

Finding the Fourth Proportional to 1,645.85, 2,271.34 and 947.22

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Solution

The fourth proportional to 1,645.85, 2,271.34 and 947.22 is: 1,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.85 : 2,271.34 = 947.22 : x
  2. Step 2: Convert to fraction form
    1,645.85/2,271.34 = 947.22/x
  3. Step 3: Cross multiply
    1,645.85x = 2,271.34 × 947.22
  4. Step 4: Simplify right side
    1,645.85x = 2,151,453.94
  5. Step 5: Solve for x
    x = 2,151,453.94/1,645.85
  6. Step 6: Final answer
    x = 1,307.20

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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.