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Finding the Fourth Proportional to 8,886, 12,263.76 and 5,160

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Solution

The fourth proportional to 8,886, 12,263.76 and 5,160 is: 7,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886 : 12,263.76 = 5,160 : x
  2. Step 2: Convert to fraction form
    8,886/12,263.76 = 5,160/x
  3. Step 3: Cross multiply
    8,886x = 12,263.76 × 5,160
  4. Step 4: Simplify right side
    8,886x = 63,281,001.60
  5. Step 5: Solve for x
    x = 63,281,001.60/8,886
  6. Step 6: Final answer
    x = 7,121.43

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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.