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Finding the Fourth Proportional to 17,798, 26,701.64 and 5,318.04

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Solution

The fourth proportional to 17,798, 26,701.64 and 5,318.04 is: 7,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798 : 26,701.64 = 5,318.04 : x
  2. Step 2: Convert to fraction form
    17,798/26,701.64 = 5,318.04/x
  3. Step 3: Cross multiply
    17,798x = 26,701.64 × 5,318.04
  4. Step 4: Simplify right side
    17,798x = 142,000,389.59
  5. Step 5: Solve for x
    x = 142,000,389.59/17,798
  6. Step 6: Final answer
    x = 7,978.45

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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.