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Finding the Fourth Proportional to 10,562.78, 14,574.33 and 6,313.21

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Solution

The fourth proportional to 10,562.78, 14,574.33 and 6,313.21 is: 8,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.78 : 14,574.33 = 6,313.21 : x
  2. Step 2: Convert to fraction form
    10,562.78/14,574.33 = 6,313.21/x
  3. Step 3: Cross multiply
    10,562.78x = 14,574.33 × 6,313.21
  4. Step 4: Simplify right side
    10,562.78x = 92,010,769.46
  5. Step 5: Solve for x
    x = 92,010,769.46/10,562.78
  6. Step 6: Final answer
    x = 8,710.85

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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.