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Finding the Fourth Proportional to 8,264.40, 12,458.32 and 7,563.84

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Solution

The fourth proportional to 8,264.40, 12,458.32 and 7,563.84 is: 11,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.40 : 12,458.32 = 7,563.84 : x
  2. Step 2: Convert to fraction form
    8,264.40/12,458.32 = 7,563.84/x
  3. Step 3: Cross multiply
    8,264.40x = 12,458.32 × 7,563.84
  4. Step 4: Simplify right side
    8,264.40x = 94,232,739.15
  5. Step 5: Solve for x
    x = 94,232,739.15/8,264.40
  6. Step 6: Final answer
    x = 11,402.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.