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Finding the Fourth Proportional to 8,365, 12,589.47 and 6,295.72

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Solution

The fourth proportional to 8,365, 12,589.47 and 6,295.72 is: 9,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365 : 12,589.47 = 6,295.72 : x
  2. Step 2: Convert to fraction form
    8,365/12,589.47 = 6,295.72/x
  3. Step 3: Cross multiply
    8,365x = 12,589.47 × 6,295.72
  4. Step 4: Simplify right side
    8,365x = 79,259,778.07
  5. Step 5: Solve for x
    x = 79,259,778.07/8,365
  6. Step 6: Final answer
    x = 9,475.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.