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Finding the Fourth Proportional to 5,880.42, 8,820.50 and 1,497.85

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Solution

The fourth proportional to 5,880.42, 8,820.50 and 1,497.85 is: 2,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.42 : 8,820.50 = 1,497.85 : x
  2. Step 2: Convert to fraction form
    5,880.42/8,820.50 = 1,497.85/x
  3. Step 3: Cross multiply
    5,880.42x = 8,820.50 × 1,497.85
  4. Step 4: Simplify right side
    5,880.42x = 13,211,756.38
  5. Step 5: Solve for x
    x = 13,211,756.38/5,880.42
  6. Step 6: Final answer
    x = 2,246.74

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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.