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Finding the Fourth Proportional to 8,397.64, 11,586.64 and 5,409.88

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Solution

The fourth proportional to 8,397.64, 11,586.64 and 5,409.88 is: 7,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.64 : 11,586.64 = 5,409.88 : x
  2. Step 2: Convert to fraction form
    8,397.64/11,586.64 = 5,409.88/x
  3. Step 3: Cross multiply
    8,397.64x = 11,586.64 × 5,409.88
  4. Step 4: Simplify right side
    8,397.64x = 62,682,332.00
  5. Step 5: Solve for x
    x = 62,682,332.00/8,397.64
  6. Step 6: Final answer
    x = 7,464.28

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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.