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Finding the Fourth Proportional to 8,406.40, 11,600.64 and 5,264.32

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Solution

The fourth proportional to 8,406.40, 11,600.64 and 5,264.32 is: 7,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.40 : 11,600.64 = 5,264.32 : x
  2. Step 2: Convert to fraction form
    8,406.40/11,600.64 = 5,264.32/x
  3. Step 3: Cross multiply
    8,406.40x = 11,600.64 × 5,264.32
  4. Step 4: Simplify right side
    8,406.40x = 61,069,481.16
  5. Step 5: Solve for x
    x = 61,069,481.16/8,406.40
  6. Step 6: Final answer
    x = 7,264.64

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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.