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Finding the Fourth Proportional to 5,931.32, 8,159.61 and 5,128.66

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Solution

The fourth proportional to 5,931.32, 8,159.61 and 5,128.66 is: 7,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.32 : 8,159.61 = 5,128.66 : x
  2. Step 2: Convert to fraction form
    5,931.32/8,159.61 = 5,128.66/x
  3. Step 3: Cross multiply
    5,931.32x = 8,159.61 × 5,128.66
  4. Step 4: Simplify right side
    5,931.32x = 41,847,824.62
  5. Step 5: Solve for x
    x = 41,847,824.62/5,931.32
  6. Step 6: Final answer
    x = 7,055.40

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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.