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Finding the Fourth Proportional to 10,916.61, 15,071.97 and 6,889.08

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Solution

The fourth proportional to 10,916.61, 15,071.97 and 6,889.08 is: 9,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.61 : 15,071.97 = 6,889.08 : x
  2. Step 2: Convert to fraction form
    10,916.61/15,071.97 = 6,889.08/x
  3. Step 3: Cross multiply
    10,916.61x = 15,071.97 × 6,889.08
  4. Step 4: Simplify right side
    10,916.61x = 103,832,007.09
  5. Step 5: Solve for x
    x = 103,832,007.09/10,916.61
  6. Step 6: Final answer
    x = 9,511.38

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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.