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Finding the Fourth Proportional to 8,584.40, 12,898.20 and 5,465.90

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Solution

The fourth proportional to 8,584.40, 12,898.20 and 5,465.90 is: 8,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.40 : 12,898.20 = 5,465.90 : x
  2. Step 2: Convert to fraction form
    8,584.40/12,898.20 = 5,465.90/x
  3. Step 3: Cross multiply
    8,584.40x = 12,898.20 × 5,465.90
  4. Step 4: Simplify right side
    8,584.40x = 70,500,271.38
  5. Step 5: Solve for x
    x = 70,500,271.38/8,584.40
  6. Step 6: Final answer
    x = 8,212.60

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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.