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Finding the Fourth Proportional to 11,128, 15,356.64 and 6,160

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Solution

The fourth proportional to 11,128, 15,356.64 and 6,160 is: 8,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128 : 15,356.64 = 6,160 : x
  2. Step 2: Convert to fraction form
    11,128/15,356.64 = 6,160/x
  3. Step 3: Cross multiply
    11,128x = 15,356.64 × 6,160
  4. Step 4: Simplify right side
    11,128x = 94,596,902.40
  5. Step 5: Solve for x
    x = 94,596,902.40/11,128
  6. Step 6: Final answer
    x = 8,500.80

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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.