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Finding the Fourth Proportional to 8,330.40, 11,493 and 5,347.85

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Solution

The fourth proportional to 8,330.40, 11,493 and 5,347.85 is: 7,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.40 : 11,493 = 5,347.85 : x
  2. Step 2: Convert to fraction form
    8,330.40/11,493 = 5,347.85/x
  3. Step 3: Cross multiply
    8,330.40x = 11,493 × 5,347.85
  4. Step 4: Simplify right side
    8,330.40x = 61,462,782.59
  5. Step 5: Solve for x
    x = 61,462,782.59/8,330.40
  6. Step 6: Final answer
    x = 7,378.13

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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.