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Finding the Fourth Proportional to 8,971.64, 12,370.30 and 6,140.38

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Solution

The fourth proportional to 8,971.64, 12,370.30 and 6,140.38 is: 8,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.64 : 12,370.30 = 6,140.38 : x
  2. Step 2: Convert to fraction form
    8,971.64/12,370.30 = 6,140.38/x
  3. Step 3: Cross multiply
    8,971.64x = 12,370.30 × 6,140.38
  4. Step 4: Simplify right side
    8,971.64x = 75,958,342.71
  5. Step 5: Solve for x
    x = 75,958,342.71/8,971.64
  6. Step 6: Final answer
    x = 8,466.49

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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.