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Finding the Fourth Proportional to 10,235.16, 15,347.88 and 5,299.83

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Solution

The fourth proportional to 10,235.16, 15,347.88 and 5,299.83 is: 7,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.16 : 15,347.88 = 5,299.83 : x
  2. Step 2: Convert to fraction form
    10,235.16/15,347.88 = 5,299.83/x
  3. Step 3: Cross multiply
    10,235.16x = 15,347.88 × 5,299.83
  4. Step 4: Simplify right side
    10,235.16x = 81,341,154.86
  5. Step 5: Solve for x
    x = 81,341,154.86/10,235.16
  6. Step 6: Final answer
    x = 7,947.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.