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Finding the Fourth Proportional to 8,971.61, 12,384.14 and 7,707.60

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Solution

The fourth proportional to 8,971.61, 12,384.14 and 7,707.60 is: 10,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.61 : 12,384.14 = 7,707.60 : x
  2. Step 2: Convert to fraction form
    8,971.61/12,384.14 = 7,707.60/x
  3. Step 3: Cross multiply
    8,971.61x = 12,384.14 × 7,707.60
  4. Step 4: Simplify right side
    8,971.61x = 95,451,958.93
  5. Step 5: Solve for x
    x = 95,451,958.93/8,971.61
  6. Step 6: Final answer
    x = 10,639.34

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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.