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Finding the Fourth Proportional to 8,293.98, 12,406.80 and 7,564.08

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Solution

The fourth proportional to 8,293.98, 12,406.80 and 7,564.08 is: 11,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.98 : 12,406.80 = 7,564.08 : x
  2. Step 2: Convert to fraction form
    8,293.98/12,406.80 = 7,564.08/x
  3. Step 3: Cross multiply
    8,293.98x = 12,406.80 × 7,564.08
  4. Step 4: Simplify right side
    8,293.98x = 93,846,027.74
  5. Step 5: Solve for x
    x = 93,846,027.74/8,293.98
  6. Step 6: Final answer
    x = 11,314.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.