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Finding the Fourth Proportional to 11,916.16, 16,445.04 and 6,881.30

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Solution

The fourth proportional to 11,916.16, 16,445.04 and 6,881.30 is: 9,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.16 : 16,445.04 = 6,881.30 : x
  2. Step 2: Convert to fraction form
    11,916.16/16,445.04 = 6,881.30/x
  3. Step 3: Cross multiply
    11,916.16x = 16,445.04 × 6,881.30
  4. Step 4: Simplify right side
    11,916.16x = 113,163,253.75
  5. Step 5: Solve for x
    x = 113,163,253.75/11,916.16
  6. Step 6: Final answer
    x = 9,496.62

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1.5x scale

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.