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Finding the Fourth Proportional to 8,590.12, 12,868.74 and 5,812.02

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Solution

The fourth proportional to 8,590.12, 12,868.74 and 5,812.02 is: 8,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.12 : 12,868.74 = 5,812.02 : x
  2. Step 2: Convert to fraction form
    8,590.12/12,868.74 = 5,812.02/x
  3. Step 3: Cross multiply
    8,590.12x = 12,868.74 × 5,812.02
  4. Step 4: Simplify right side
    8,590.12x = 74,793,374.25
  5. Step 5: Solve for x
    x = 74,793,374.25/8,590.12
  6. Step 6: Final answer
    x = 8,706.91

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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.