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Finding the Fourth Proportional to 7,066.85, 9,746.78 and 5,177.72

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Solution

The fourth proportional to 7,066.85, 9,746.78 and 5,177.72 is: 7,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.85 : 9,746.78 = 5,177.72 : x
  2. Step 2: Convert to fraction form
    7,066.85/9,746.78 = 5,177.72/x
  3. Step 3: Cross multiply
    7,066.85x = 9,746.78 × 5,177.72
  4. Step 4: Simplify right side
    7,066.85x = 50,466,125.34
  5. Step 5: Solve for x
    x = 50,466,125.34/7,066.85
  6. Step 6: Final answer
    x = 7,141.25

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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.