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Finding the Fourth Proportional to 8,239.14, 11,370 and 4,703.46

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Solution

The fourth proportional to 8,239.14, 11,370 and 4,703.46 is: 6,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.14 : 11,370 = 4,703.46 : x
  2. Step 2: Convert to fraction form
    8,239.14/11,370 = 4,703.46/x
  3. Step 3: Cross multiply
    8,239.14x = 11,370 × 4,703.46
  4. Step 4: Simplify right side
    8,239.14x = 53,478,340.20
  5. Step 5: Solve for x
    x = 53,478,340.20/8,239.14
  6. Step 6: Final answer
    x = 6,490.77

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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.