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Finding the Fourth Proportional to 6,485.57, 9,666.66 and 6,116.48

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Solution

The fourth proportional to 6,485.57, 9,666.66 and 6,116.48 is: 9,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.57 : 9,666.66 = 6,116.48 : x
  2. Step 2: Convert to fraction form
    6,485.57/9,666.66 = 6,116.48/x
  3. Step 3: Cross multiply
    6,485.57x = 9,666.66 × 6,116.48
  4. Step 4: Simplify right side
    6,485.57x = 59,125,932.56
  5. Step 5: Solve for x
    x = 59,125,932.56/6,485.57
  6. Step 6: Final answer
    x = 9,116.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.