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Finding the Fourth Proportional to 10,502.10, 14,484.15 and 7,855.83

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Solution

The fourth proportional to 10,502.10, 14,484.15 and 7,855.83 is: 10,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.10 : 14,484.15 = 7,855.83 : x
  2. Step 2: Convert to fraction form
    10,502.10/14,484.15 = 7,855.83/x
  3. Step 3: Cross multiply
    10,502.10x = 14,484.15 × 7,855.83
  4. Step 4: Simplify right side
    10,502.10x = 113,785,020.09
  5. Step 5: Solve for x
    x = 113,785,020.09/10,502.10
  6. Step 6: Final answer
    x = 10,834.50

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