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Finding the Fourth Proportional to 4,691.40, 7,038 and 1,404.21

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Solution

The fourth proportional to 4,691.40, 7,038 and 1,404.21 is: 2,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.40 : 7,038 = 1,404.21 : x
  2. Step 2: Convert to fraction form
    4,691.40/7,038 = 1,404.21/x
  3. Step 3: Cross multiply
    4,691.40x = 7,038 × 1,404.21
  4. Step 4: Simplify right side
    4,691.40x = 9,882,829.98
  5. Step 5: Solve for x
    x = 9,882,829.98/4,691.40
  6. Step 6: Final answer
    x = 2,106.58

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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.