Home / 2,117.74-3,176.07-947.09

Finding the Fourth Proportional to 2,117.74, 3,176.07 and 947.09

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Solution

The fourth proportional to 2,117.74, 3,176.07 and 947.09 is: 1,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.74 : 3,176.07 = 947.09 : x
  2. Step 2: Convert to fraction form
    2,117.74/3,176.07 = 947.09/x
  3. Step 3: Cross multiply
    2,117.74x = 3,176.07 × 947.09
  4. Step 4: Simplify right side
    2,117.74x = 3,008,008.26
  5. Step 5: Solve for x
    x = 3,008,008.26/2,117.74
  6. Step 6: Final answer
    x = 1,420.39

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1.5x scale

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.