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Finding the Fourth Proportional to 10,311.84, 14,230.08 and 6,120

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Solution

The fourth proportional to 10,311.84, 14,230.08 and 6,120 is: 8,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.84 : 14,230.08 = 6,120 : x
  2. Step 2: Convert to fraction form
    10,311.84/14,230.08 = 6,120/x
  3. Step 3: Cross multiply
    10,311.84x = 14,230.08 × 6,120
  4. Step 4: Simplify right side
    10,311.84x = 87,088,089.60
  5. Step 5: Solve for x
    x = 87,088,089.60/10,311.84
  6. Step 6: Final answer
    x = 8,445.45

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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.