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Finding the Fourth Proportional to 11,817.60, 17,769.60 and 9,916.80

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Solution

The fourth proportional to 11,817.60, 17,769.60 and 9,916.80 is: 14,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.60 : 17,769.60 = 9,916.80 : x
  2. Step 2: Convert to fraction form
    11,817.60/17,769.60 = 9,916.80/x
  3. Step 3: Cross multiply
    11,817.60x = 17,769.60 × 9,916.80
  4. Step 4: Simplify right side
    11,817.60x = 176,217,569.28
  5. Step 5: Solve for x
    x = 176,217,569.28/11,817.60
  6. Step 6: Final answer
    x = 14,911.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.