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Finding the Fourth Proportional to 11,276, 15,560.88 and 6,308

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Solution

The fourth proportional to 11,276, 15,560.88 and 6,308 is: 8,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276 : 15,560.88 = 6,308 : x
  2. Step 2: Convert to fraction form
    11,276/15,560.88 = 6,308/x
  3. Step 3: Cross multiply
    11,276x = 15,560.88 × 6,308
  4. Step 4: Simplify right side
    11,276x = 98,158,031.04
  5. Step 5: Solve for x
    x = 98,158,031.04/11,276
  6. Step 6: Final answer
    x = 8,705.04

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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.