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Finding the Fourth Proportional to 7,880.90, 11,817.90 and 4,182.30

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Solution

The fourth proportional to 7,880.90, 11,817.90 and 4,182.30 is: 6,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.90 : 11,817.90 = 4,182.30 : x
  2. Step 2: Convert to fraction form
    7,880.90/11,817.90 = 4,182.30/x
  3. Step 3: Cross multiply
    7,880.90x = 11,817.90 × 4,182.30
  4. Step 4: Simplify right side
    7,880.90x = 49,426,003.17
  5. Step 5: Solve for x
    x = 49,426,003.17/7,880.90
  6. Step 6: Final answer
    x = 6,271.62

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1.5x scale

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.