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Finding the Fourth Proportional to 17,288, 23,861.76 and 9,840.32

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Solution

The fourth proportional to 17,288, 23,861.76 and 9,840.32 is: 13,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288 : 23,861.76 = 9,840.32 : x
  2. Step 2: Convert to fraction form
    17,288/23,861.76 = 9,840.32/x
  3. Step 3: Cross multiply
    17,288x = 23,861.76 × 9,840.32
  4. Step 4: Simplify right side
    17,288x = 234,807,354.16
  5. Step 5: Solve for x
    x = 234,807,354.16/17,288
  6. Step 6: Final answer
    x = 13,582.10

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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.