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Finding the Fourth Proportional to 2,890.52, 3,988.88 and 1,648.76

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Solution

The fourth proportional to 2,890.52, 3,988.88 and 1,648.76 is: 2,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.52 : 3,988.88 = 1,648.76 : x
  2. Step 2: Convert to fraction form
    2,890.52/3,988.88 = 1,648.76/x
  3. Step 3: Cross multiply
    2,890.52x = 3,988.88 × 1,648.76
  4. Step 4: Simplify right side
    2,890.52x = 6,576,705.79
  5. Step 5: Solve for x
    x = 6,576,705.79/2,890.52
  6. Step 6: Final answer
    x = 2,275.27

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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.