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Finding the Fourth Proportional to 19,423, 29,134.52 and 4,831

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Solution

The fourth proportional to 19,423, 29,134.52 and 4,831 is: 7,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423 : 29,134.52 = 4,831 : x
  2. Step 2: Convert to fraction form
    19,423/29,134.52 = 4,831/x
  3. Step 3: Cross multiply
    19,423x = 29,134.52 × 4,831
  4. Step 4: Simplify right side
    19,423x = 140,748,866.12
  5. Step 5: Solve for x
    x = 140,748,866.12/19,423
  6. Step 6: Final answer
    x = 7,246.50

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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.