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Finding the Fourth Proportional to 11,070, 15,276.84 and 6,102

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Solution

The fourth proportional to 11,070, 15,276.84 and 6,102 is: 8,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,070 : 15,276.84 = 6,102 : x
  2. Step 2: Convert to fraction form
    11,070/15,276.84 = 6,102/x
  3. Step 3: Cross multiply
    11,070x = 15,276.84 × 6,102
  4. Step 4: Simplify right side
    11,070x = 93,219,277.68
  5. Step 5: Solve for x
    x = 93,219,277.68/11,070
  6. Step 6: Final answer
    x = 8,420.89

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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.