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Finding the Fourth Proportional to 19,398.47, 29,097.71 and 5,358.65

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Solution

The fourth proportional to 19,398.47, 29,097.71 and 5,358.65 is: 8,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398.47 : 29,097.71 = 5,358.65 : x
  2. Step 2: Convert to fraction form
    19,398.47/29,097.71 = 5,358.65/x
  3. Step 3: Cross multiply
    19,398.47x = 29,097.71 × 5,358.65
  4. Step 4: Simplify right side
    19,398.47x = 155,924,271.41
  5. Step 5: Solve for x
    x = 155,924,271.41/19,398.47
  6. Step 6: Final answer
    x = 8,037.97

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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.