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Finding the Fourth Proportional to 8,156.64, 11,256.30 and 4,430.64

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Solution

The fourth proportional to 8,156.64, 11,256.30 and 4,430.64 is: 6,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.64 : 11,256.30 = 4,430.64 : x
  2. Step 2: Convert to fraction form
    8,156.64/11,256.30 = 4,430.64/x
  3. Step 3: Cross multiply
    8,156.64x = 11,256.30 × 4,430.64
  4. Step 4: Simplify right side
    8,156.64x = 49,872,613.03
  5. Step 5: Solve for x
    x = 49,872,613.03/8,156.64
  6. Step 6: Final answer
    x = 6,114.36

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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.