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Finding the Fourth Proportional to 8,490.40, 11,719.20 and 5,133.22

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Solution

The fourth proportional to 8,490.40, 11,719.20 and 5,133.22 is: 7,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.40 : 11,719.20 = 5,133.22 : x
  2. Step 2: Convert to fraction form
    8,490.40/11,719.20 = 5,133.22/x
  3. Step 3: Cross multiply
    8,490.40x = 11,719.20 × 5,133.22
  4. Step 4: Simplify right side
    8,490.40x = 60,157,231.82
  5. Step 5: Solve for x
    x = 60,157,231.82/8,490.40
  6. Step 6: Final answer
    x = 7,085.32

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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.