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Finding the Fourth Proportional to 10,393.66, 14,310.02 and 8,410.78

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Solution

The fourth proportional to 10,393.66, 14,310.02 and 8,410.78 is: 11,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.66 : 14,310.02 = 8,410.78 : x
  2. Step 2: Convert to fraction form
    10,393.66/14,310.02 = 8,410.78/x
  3. Step 3: Cross multiply
    10,393.66x = 14,310.02 × 8,410.78
  4. Step 4: Simplify right side
    10,393.66x = 120,358,430.02
  5. Step 5: Solve for x
    x = 120,358,430.02/10,393.66
  6. Step 6: Final answer
    x = 11,579.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.