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Finding the Fourth Proportional to 4,990.76, 7,486.12 and 1,871

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Solution

The fourth proportional to 4,990.76, 7,486.12 and 1,871 is: 2,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.76 : 7,486.12 = 1,871 : x
  2. Step 2: Convert to fraction form
    4,990.76/7,486.12 = 1,871/x
  3. Step 3: Cross multiply
    4,990.76x = 7,486.12 × 1,871
  4. Step 4: Simplify right side
    4,990.76x = 14,006,530.52
  5. Step 5: Solve for x
    x = 14,006,530.52/4,990.76
  6. Step 6: Final answer
    x = 2,806.49

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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.