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Finding the Fourth Proportional to 9,173.57, 12,647.25 and 7,291.40

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Solution

The fourth proportional to 9,173.57, 12,647.25 and 7,291.40 is: 10,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.57 : 12,647.25 = 7,291.40 : x
  2. Step 2: Convert to fraction form
    9,173.57/12,647.25 = 7,291.40/x
  3. Step 3: Cross multiply
    9,173.57x = 12,647.25 × 7,291.40
  4. Step 4: Simplify right side
    9,173.57x = 92,216,095.41
  5. Step 5: Solve for x
    x = 92,216,095.41/9,173.57
  6. Step 6: Final answer
    x = 10,052.37

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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.