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Finding the Fourth Proportional to 11,837.16, 17,750.54 and 6,289.20

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Solution

The fourth proportional to 11,837.16, 17,750.54 and 6,289.20 is: 9,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.16 : 17,750.54 = 6,289.20 : x
  2. Step 2: Convert to fraction form
    11,837.16/17,750.54 = 6,289.20/x
  3. Step 3: Cross multiply
    11,837.16x = 17,750.54 × 6,289.20
  4. Step 4: Simplify right side
    11,837.16x = 111,636,696.17
  5. Step 5: Solve for x
    x = 111,636,696.17/11,837.16
  6. Step 6: Final answer
    x = 9,431.04

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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.