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Finding the Fourth Proportional to 7,156.92, 9,871.56 and 6,916.08

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Solution

The fourth proportional to 7,156.92, 9,871.56 and 6,916.08 is: 9,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.92 : 9,871.56 = 6,916.08 : x
  2. Step 2: Convert to fraction form
    7,156.92/9,871.56 = 6,916.08/x
  3. Step 3: Cross multiply
    7,156.92x = 9,871.56 × 6,916.08
  4. Step 4: Simplify right side
    7,156.92x = 68,272,498.68
  5. Step 5: Solve for x
    x = 68,272,498.68/7,156.92
  6. Step 6: Final answer
    x = 9,539.37

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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.