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Finding the Fourth Proportional to 8,964.36, 12,374.16 and 7,700.34

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Solution

The fourth proportional to 8,964.36, 12,374.16 and 7,700.34 is: 10,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.36 : 12,374.16 = 7,700.34 : x
  2. Step 2: Convert to fraction form
    8,964.36/12,374.16 = 7,700.34/x
  3. Step 3: Cross multiply
    8,964.36x = 12,374.16 × 7,700.34
  4. Step 4: Simplify right side
    8,964.36x = 95,285,239.21
  5. Step 5: Solve for x
    x = 95,285,239.21/8,964.36
  6. Step 6: Final answer
    x = 10,629.34

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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.