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Finding the Fourth Proportional to 15,798, 21,807.60 and 10,767.30

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Solution

The fourth proportional to 15,798, 21,807.60 and 10,767.30 is: 14,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798 : 21,807.60 = 10,767.30 : x
  2. Step 2: Convert to fraction form
    15,798/21,807.60 = 10,767.30/x
  3. Step 3: Cross multiply
    15,798x = 21,807.60 × 10,767.30
  4. Step 4: Simplify right side
    15,798x = 234,809,053.26
  5. Step 5: Solve for x
    x = 234,809,053.26/15,798
  6. Step 6: Final answer
    x = 14,863.21

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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.