Home / 2,117.10-3,175.48-947.17

Finding the Fourth Proportional to 2,117.10, 3,175.48 and 947.17

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Solution

The fourth proportional to 2,117.10, 3,175.48 and 947.17 is: 1,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.10 : 3,175.48 = 947.17 : x
  2. Step 2: Convert to fraction form
    2,117.10/3,175.48 = 947.17/x
  3. Step 3: Cross multiply
    2,117.10x = 3,175.48 × 947.17
  4. Step 4: Simplify right side
    2,117.10x = 3,007,712.95
  5. Step 5: Solve for x
    x = 3,007,712.95/2,117.10
  6. Step 6: Final answer
    x = 1,420.68

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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.