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Finding the Fourth Proportional to 10,010.96, 13,807.62 and 8,877.96

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Solution

The fourth proportional to 10,010.96, 13,807.62 and 8,877.96 is: 12,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.96 : 13,807.62 = 8,877.96 : x
  2. Step 2: Convert to fraction form
    10,010.96/13,807.62 = 8,877.96/x
  3. Step 3: Cross multiply
    10,010.96x = 13,807.62 × 8,877.96
  4. Step 4: Simplify right side
    10,010.96x = 122,583,498.06
  5. Step 5: Solve for x
    x = 122,583,498.06/10,010.96
  6. Step 6: Final answer
    x = 12,244.93

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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.