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Finding the Fourth Proportional to 9,125.76, 13,690.80 and 4,742.22

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Solution

The fourth proportional to 9,125.76, 13,690.80 and 4,742.22 is: 7,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.76 : 13,690.80 = 4,742.22 : x
  2. Step 2: Convert to fraction form
    9,125.76/13,690.80 = 4,742.22/x
  3. Step 3: Cross multiply
    9,125.76x = 13,690.80 × 4,742.22
  4. Step 4: Simplify right side
    9,125.76x = 64,924,785.58
  5. Step 5: Solve for x
    x = 64,924,785.58/9,125.76
  6. Step 6: Final answer
    x = 7,114.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.