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Finding the Fourth Proportional to 8,865.64, 12,237.06 and 5,140.36

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Solution

The fourth proportional to 8,865.64, 12,237.06 and 5,140.36 is: 7,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.64 : 12,237.06 = 5,140.36 : x
  2. Step 2: Convert to fraction form
    8,865.64/12,237.06 = 5,140.36/x
  3. Step 3: Cross multiply
    8,865.64x = 12,237.06 × 5,140.36
  4. Step 4: Simplify right side
    8,865.64x = 62,902,893.74
  5. Step 5: Solve for x
    x = 62,902,893.74/8,865.64
  6. Step 6: Final answer
    x = 7,095.13

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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.