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Finding the Fourth Proportional to 7,177.66, 9,907.12 and 4,659.63

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Solution

The fourth proportional to 7,177.66, 9,907.12 and 4,659.63 is: 6,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.66 : 9,907.12 = 4,659.63 : x
  2. Step 2: Convert to fraction form
    7,177.66/9,907.12 = 4,659.63/x
  3. Step 3: Cross multiply
    7,177.66x = 9,907.12 × 4,659.63
  4. Step 4: Simplify right side
    7,177.66x = 46,163,501.92
  5. Step 5: Solve for x
    x = 46,163,501.92/7,177.66
  6. Step 6: Final answer
    x = 6,431.56

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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.