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Finding the Fourth Proportional to 4,762.84, 7,145.64 and 1,988.08

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Solution

The fourth proportional to 4,762.84, 7,145.64 and 1,988.08 is: 2,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.84 : 7,145.64 = 1,988.08 : x
  2. Step 2: Convert to fraction form
    4,762.84/7,145.64 = 1,988.08/x
  3. Step 3: Cross multiply
    4,762.84x = 7,145.64 × 1,988.08
  4. Step 4: Simplify right side
    4,762.84x = 14,206,103.97
  5. Step 5: Solve for x
    x = 14,206,103.97/4,762.84
  6. Step 6: Final answer
    x = 2,982.70

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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.