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Finding the Fourth Proportional to 8,281, 12,430.74 and 4,590.44

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Solution

The fourth proportional to 8,281, 12,430.74 and 4,590.44 is: 6,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281 : 12,430.74 = 4,590.44 : x
  2. Step 2: Convert to fraction form
    8,281/12,430.74 = 4,590.44/x
  3. Step 3: Cross multiply
    8,281x = 12,430.74 × 4,590.44
  4. Step 4: Simplify right side
    8,281x = 57,062,566.13
  5. Step 5: Solve for x
    x = 57,062,566.13/8,281
  6. Step 6: Final answer
    x = 6,890.78

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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.