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Finding the Fourth Proportional to 1,310.61, 1,809 and 838.47

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Solution

The fourth proportional to 1,310.61, 1,809 and 838.47 is: 1,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.61 : 1,809 = 838.47 : x
  2. Step 2: Convert to fraction form
    1,310.61/1,809 = 838.47/x
  3. Step 3: Cross multiply
    1,310.61x = 1,809 × 838.47
  4. Step 4: Simplify right side
    1,310.61x = 1,516,792.23
  5. Step 5: Solve for x
    x = 1,516,792.23/1,310.61
  6. Step 6: Final answer
    x = 1,157.32

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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.