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Finding the Fourth Proportional to 9,377.86, 14,064.70 and 2,803.20

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Solution

The fourth proportional to 9,377.86, 14,064.70 and 2,803.20 is: 4,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.86 : 14,064.70 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    9,377.86/14,064.70 = 2,803.20/x
  3. Step 3: Cross multiply
    9,377.86x = 14,064.70 × 2,803.20
  4. Step 4: Simplify right side
    9,377.86x = 39,426,096.72
  5. Step 5: Solve for x
    x = 39,426,096.72/9,377.86
  6. Step 6: Final answer
    x = 4,204.17

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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.