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Finding the Fourth Proportional to 8,045.10, 11,043.03 and 7,141.14

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Solution

The fourth proportional to 8,045.10, 11,043.03 and 7,141.14 is: 9,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.10 : 11,043.03 = 7,141.14 : x
  2. Step 2: Convert to fraction form
    8,045.10/11,043.03 = 7,141.14/x
  3. Step 3: Cross multiply
    8,045.10x = 11,043.03 × 7,141.14
  4. Step 4: Simplify right side
    8,045.10x = 78,859,823.25
  5. Step 5: Solve for x
    x = 78,859,823.25/8,045.10
  6. Step 6: Final answer
    x = 9,802.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.