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Finding the Fourth Proportional to 4,999.47, 7,500.14 and 2,078.01

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Solution

The fourth proportional to 4,999.47, 7,500.14 and 2,078.01 is: 3,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.47 : 7,500.14 = 2,078.01 : x
  2. Step 2: Convert to fraction form
    4,999.47/7,500.14 = 2,078.01/x
  3. Step 3: Cross multiply
    4,999.47x = 7,500.14 × 2,078.01
  4. Step 4: Simplify right side
    4,999.47x = 15,585,355.53
  5. Step 5: Solve for x
    x = 15,585,355.53/4,999.47
  6. Step 6: Final answer
    x = 3,117.40

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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.