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Finding the Fourth Proportional to 6,484.32, 9,664.79 and 6,115.23

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Solution

The fourth proportional to 6,484.32, 9,664.79 and 6,115.23 is: 9,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.32 : 9,664.79 = 6,115.23 : x
  2. Step 2: Convert to fraction form
    6,484.32/9,664.79 = 6,115.23/x
  3. Step 3: Cross multiply
    6,484.32x = 9,664.79 × 6,115.23
  4. Step 4: Simplify right side
    6,484.32x = 59,102,383.18
  5. Step 5: Solve for x
    x = 59,102,383.18/6,484.32
  6. Step 6: Final answer
    x = 9,114.66

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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.