Home / 2,117.83-3,177.50-947.73

Finding the Fourth Proportional to 2,117.83, 3,177.50 and 947.73

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Solution

The fourth proportional to 2,117.83, 3,177.50 and 947.73 is: 1,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.83 : 3,177.50 = 947.73 : x
  2. Step 2: Convert to fraction form
    2,117.83/3,177.50 = 947.73/x
  3. Step 3: Cross multiply
    2,117.83x = 3,177.50 × 947.73
  4. Step 4: Simplify right side
    2,117.83x = 3,011,412.08
  5. Step 5: Solve for x
    x = 3,011,412.08/2,117.83
  6. Step 6: Final answer
    x = 1,421.93

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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.