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Finding the Fourth Proportional to 19,296, 28,944 and 5,445

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Solution

The fourth proportional to 19,296, 28,944 and 5,445 is: 8,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 28,944 = 5,445 : x
  2. Step 2: Convert to fraction form
    19,296/28,944 = 5,445/x
  3. Step 3: Cross multiply
    19,296x = 28,944 × 5,445
  4. Step 4: Simplify right side
    19,296x = 157,600,080
  5. Step 5: Solve for x
    x = 157,600,080/19,296
  6. Step 6: Final answer
    x = 8,167.50

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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.