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Finding the Fourth Proportional to 8,470.90, 12,703.92 and 5,890.24

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Solution

The fourth proportional to 8,470.90, 12,703.92 and 5,890.24 is: 8,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.90 : 12,703.92 = 5,890.24 : x
  2. Step 2: Convert to fraction form
    8,470.90/12,703.92 = 5,890.24/x
  3. Step 3: Cross multiply
    8,470.90x = 12,703.92 × 5,890.24
  4. Step 4: Simplify right side
    8,470.90x = 74,829,137.74
  5. Step 5: Solve for x
    x = 74,829,137.74/8,470.90
  6. Step 6: Final answer
    x = 8,833.67

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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.