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Finding the Fourth Proportional to 10,500, 14,490.06 and 7,317.96

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Solution

The fourth proportional to 10,500, 14,490.06 and 7,317.96 is: 10,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500 : 14,490.06 = 7,317.96 : x
  2. Step 2: Convert to fraction form
    10,500/14,490.06 = 7,317.96/x
  3. Step 3: Cross multiply
    10,500x = 14,490.06 × 7,317.96
  4. Step 4: Simplify right side
    10,500x = 106,037,679.48
  5. Step 5: Solve for x
    x = 106,037,679.48/10,500
  6. Step 6: Final answer
    x = 10,098.83

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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.