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Finding the Fourth Proportional to 15,497, 23,255.74 and 7,289.64

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Solution

The fourth proportional to 15,497, 23,255.74 and 7,289.64 is: 10,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497 : 23,255.74 = 7,289.64 : x
  2. Step 2: Convert to fraction form
    15,497/23,255.74 = 7,289.64/x
  3. Step 3: Cross multiply
    15,497x = 23,255.74 × 7,289.64
  4. Step 4: Simplify right side
    15,497x = 169,525,972.53
  5. Step 5: Solve for x
    x = 169,525,972.53/15,497
  6. Step 6: Final answer
    x = 10,939.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.