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Finding the Fourth Proportional to 2,137.52, 2,947.62 and 1,900.76

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Solution

The fourth proportional to 2,137.52, 2,947.62 and 1,900.76 is: 2,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.52 : 2,947.62 = 1,900.76 : x
  2. Step 2: Convert to fraction form
    2,137.52/2,947.62 = 1,900.76/x
  3. Step 3: Cross multiply
    2,137.52x = 2,947.62 × 1,900.76
  4. Step 4: Simplify right side
    2,137.52x = 5,602,718.19
  5. Step 5: Solve for x
    x = 5,602,718.19/2,137.52
  6. Step 6: Final answer
    x = 2,621.13

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Double scale
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1.5x scale

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.