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Finding the Fourth Proportional to 8,698.59, 11,984.36 and 8,283.87

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Solution

The fourth proportional to 8,698.59, 11,984.36 and 8,283.87 is: 11,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.59 : 11,984.36 = 8,283.87 : x
  2. Step 2: Convert to fraction form
    8,698.59/11,984.36 = 8,283.87/x
  3. Step 3: Cross multiply
    8,698.59x = 11,984.36 × 8,283.87
  4. Step 4: Simplify right side
    8,698.59x = 99,276,838.85
  5. Step 5: Solve for x
    x = 99,276,838.85/8,698.59
  6. Step 6: Final answer
    x = 11,412.98

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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.