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Finding the Fourth Proportional to 8,156.25, 11,255.63 and 4,430.25

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Solution

The fourth proportional to 8,156.25, 11,255.63 and 4,430.25 is: 6,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.25 : 11,255.63 = 4,430.25 : x
  2. Step 2: Convert to fraction form
    8,156.25/11,255.63 = 4,430.25/x
  3. Step 3: Cross multiply
    8,156.25x = 11,255.63 × 4,430.25
  4. Step 4: Simplify right side
    8,156.25x = 49,865,232.66
  5. Step 5: Solve for x
    x = 49,865,232.66/8,156.25
  6. Step 6: Final answer
    x = 6,113.75

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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.