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Finding the Fourth Proportional to 8,690.74, 13,038 and 3,143.50

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Solution

The fourth proportional to 8,690.74, 13,038 and 3,143.50 is: 4,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.74 : 13,038 = 3,143.50 : x
  2. Step 2: Convert to fraction form
    8,690.74/13,038 = 3,143.50/x
  3. Step 3: Cross multiply
    8,690.74x = 13,038 × 3,143.50
  4. Step 4: Simplify right side
    8,690.74x = 40,984,920.41
  5. Step 5: Solve for x
    x = 40,984,920.41/8,690.74
  6. Step 6: Final answer
    x = 4,715.93

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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.