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Finding the Fourth Proportional to 8,690, 12,002.10 and 5,890.64

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Solution

The fourth proportional to 8,690, 12,002.10 and 5,890.64 is: 8,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690 : 12,002.10 = 5,890.64 : x
  2. Step 2: Convert to fraction form
    8,690/12,002.10 = 5,890.64/x
  3. Step 3: Cross multiply
    8,690x = 12,002.10 × 5,890.64
  4. Step 4: Simplify right side
    8,690x = 70,700,050.34
  5. Step 5: Solve for x
    x = 70,700,050.34/8,690
  6. Step 6: Final answer
    x = 8,135.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.