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Finding the Fourth Proportional to 19,516, 29,277.69 and 7,830.13

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Solution

The fourth proportional to 19,516, 29,277.69 and 7,830.13 is: 11,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516 : 29,277.69 = 7,830.13 : x
  2. Step 2: Convert to fraction form
    19,516/29,277.69 = 7,830.13/x
  3. Step 3: Cross multiply
    19,516x = 29,277.69 × 7,830.13
  4. Step 4: Simplify right side
    19,516x = 229,248,118.80
  5. Step 5: Solve for x
    x = 229,248,118.80/19,516
  6. Step 6: Final answer
    x = 11,746.68

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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.