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Finding the Fourth Proportional to 3,487, 5,228.08 and 1,637.76

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Solution

The fourth proportional to 3,487, 5,228.08 and 1,637.76 is: 2,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 5,228.08 = 1,637.76 : x
  2. Step 2: Convert to fraction form
    3,487/5,228.08 = 1,637.76/x
  3. Step 3: Cross multiply
    3,487x = 5,228.08 × 1,637.76
  4. Step 4: Simplify right side
    3,487x = 8,562,340.30
  5. Step 5: Solve for x
    x = 8,562,340.30/3,487
  6. Step 6: Final answer
    x = 2,455.50

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Half scale
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Double scale
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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.