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Finding the Fourth Proportional to 11,420.77, 15,760.02 and 6,315.99

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Solution

The fourth proportional to 11,420.77, 15,760.02 and 6,315.99 is: 8,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.77 : 15,760.02 = 6,315.99 : x
  2. Step 2: Convert to fraction form
    11,420.77/15,760.02 = 6,315.99/x
  3. Step 3: Cross multiply
    11,420.77x = 15,760.02 × 6,315.99
  4. Step 4: Simplify right side
    11,420.77x = 99,540,079.94
  5. Step 5: Solve for x
    x = 99,540,079.94/11,420.77
  6. Step 6: Final answer
    x = 8,715.70

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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.