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Finding the Fourth Proportional to 8,590.94, 12,890.73 and 6,404.06

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Solution

The fourth proportional to 8,590.94, 12,890.73 and 6,404.06 is: 9,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.94 : 12,890.73 = 6,404.06 : x
  2. Step 2: Convert to fraction form
    8,590.94/12,890.73 = 6,404.06/x
  3. Step 3: Cross multiply
    8,590.94x = 12,890.73 × 6,404.06
  4. Step 4: Simplify right side
    8,590.94x = 82,553,008.36
  5. Step 5: Solve for x
    x = 82,553,008.36/8,590.94
  6. Step 6: Final answer
    x = 9,609.31

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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.