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Finding the Fourth Proportional to 3,248, 4,482.64 and 1,989.92

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Solution

The fourth proportional to 3,248, 4,482.64 and 1,989.92 is: 2,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248 : 4,482.64 = 1,989.92 : x
  2. Step 2: Convert to fraction form
    3,248/4,482.64 = 1,989.92/x
  3. Step 3: Cross multiply
    3,248x = 4,482.64 × 1,989.92
  4. Step 4: Simplify right side
    3,248x = 8,920,094.99
  5. Step 5: Solve for x
    x = 8,920,094.99/3,248
  6. Step 6: Final answer
    x = 2,746.33

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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.