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Finding the Fourth Proportional to 10,000.35, 14,977.71 and 8,578.80

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Solution

The fourth proportional to 10,000.35, 14,977.71 and 8,578.80 is: 12,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.35 : 14,977.71 = 8,578.80 : x
  2. Step 2: Convert to fraction form
    10,000.35/14,977.71 = 8,578.80/x
  3. Step 3: Cross multiply
    10,000.35x = 14,977.71 × 8,578.80
  4. Step 4: Simplify right side
    10,000.35x = 128,490,778.55
  5. Step 5: Solve for x
    x = 128,490,778.55/10,000.35
  6. Step 6: Final answer
    x = 12,848.63

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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.