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Finding the Fourth Proportional to 8,866.24, 12,235.20 and 5,140

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Solution

The fourth proportional to 8,866.24, 12,235.20 and 5,140 is: 7,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.24 : 12,235.20 = 5,140 : x
  2. Step 2: Convert to fraction form
    8,866.24/12,235.20 = 5,140/x
  3. Step 3: Cross multiply
    8,866.24x = 12,235.20 × 5,140
  4. Step 4: Simplify right side
    8,866.24x = 62,888,928.00
  5. Step 5: Solve for x
    x = 62,888,928.00/8,866.24
  6. Step 6: Final answer
    x = 7,093.08

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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.