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Finding the Fourth Proportional to 10,018.57, 13,826.66 and 5,769.77

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Solution

The fourth proportional to 10,018.57, 13,826.66 and 5,769.77 is: 7,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.57 : 13,826.66 = 5,769.77 : x
  2. Step 2: Convert to fraction form
    10,018.57/13,826.66 = 5,769.77/x
  3. Step 3: Cross multiply
    10,018.57x = 13,826.66 × 5,769.77
  4. Step 4: Simplify right side
    10,018.57x = 79,776,648.07
  5. Step 5: Solve for x
    x = 79,776,648.07/10,018.57
  6. Step 6: Final answer
    x = 7,962.88

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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.