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Finding the Fourth Proportional to 3,051.46, 4,575.55 and 970.90

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Solution

The fourth proportional to 3,051.46, 4,575.55 and 970.90 is: 1,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.46 : 4,575.55 = 970.90 : x
  2. Step 2: Convert to fraction form
    3,051.46/4,575.55 = 970.90/x
  3. Step 3: Cross multiply
    3,051.46x = 4,575.55 × 970.90
  4. Step 4: Simplify right side
    3,051.46x = 4,442,401.50
  5. Step 5: Solve for x
    x = 4,442,401.50/3,051.46
  6. Step 6: Final answer
    x = 1,455.83

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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.