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Finding the Fourth Proportional to 9,384.77, 12,946.42 and 6,199.31

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Solution

The fourth proportional to 9,384.77, 12,946.42 and 6,199.31 is: 8,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.77 : 12,946.42 = 6,199.31 : x
  2. Step 2: Convert to fraction form
    9,384.77/12,946.42 = 6,199.31/x
  3. Step 3: Cross multiply
    9,384.77x = 12,946.42 × 6,199.31
  4. Step 4: Simplify right side
    9,384.77x = 80,258,870.97
  5. Step 5: Solve for x
    x = 80,258,870.97/9,384.77
  6. Step 6: Final answer
    x = 8,552.03

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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.