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Finding the Fourth Proportional to 8,590.53, 12,883.69 and 6,277.78

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Solution

The fourth proportional to 8,590.53, 12,883.69 and 6,277.78 is: 9,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.53 : 12,883.69 = 6,277.78 : x
  2. Step 2: Convert to fraction form
    8,590.53/12,883.69 = 6,277.78/x
  3. Step 3: Cross multiply
    8,590.53x = 12,883.69 × 6,277.78
  4. Step 4: Simplify right side
    8,590.53x = 80,880,971.41
  5. Step 5: Solve for x
    x = 80,880,971.41/8,590.53
  6. Step 6: Final answer
    x = 9,415.13

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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.