Home / 2,117.85-3,176.64-947.94

Finding the Fourth Proportional to 2,117.85, 3,176.64 and 947.94

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Solution

The fourth proportional to 2,117.85, 3,176.64 and 947.94 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.85 : 3,176.64 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,117.85/3,176.64 = 947.94/x
  3. Step 3: Cross multiply
    2,117.85x = 3,176.64 × 947.94
  4. Step 4: Simplify right side
    2,117.85x = 3,011,264.12
  5. Step 5: Solve for x
    x = 3,011,264.12/2,117.85
  6. Step 6: Final answer
    x = 1,421.85

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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.