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Finding the Fourth Proportional to 17,490.77, 24,135.74 and 9,728.10

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Solution

The fourth proportional to 17,490.77, 24,135.74 and 9,728.10 is: 13,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.77 : 24,135.74 = 9,728.10 : x
  2. Step 2: Convert to fraction form
    17,490.77/24,135.74 = 9,728.10/x
  3. Step 3: Cross multiply
    17,490.77x = 24,135.74 × 9,728.10
  4. Step 4: Simplify right side
    17,490.77x = 234,794,880.13
  5. Step 5: Solve for x
    x = 234,794,880.13/17,490.77
  6. Step 6: Final answer
    x = 13,423.93

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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.