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Finding the Fourth Proportional to 14,115.10, 19,479.99 and 7,829.50

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Solution

The fourth proportional to 14,115.10, 19,479.99 and 7,829.50 is: 10,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.10 : 19,479.99 = 7,829.50 : x
  2. Step 2: Convert to fraction form
    14,115.10/19,479.99 = 7,829.50/x
  3. Step 3: Cross multiply
    14,115.10x = 19,479.99 × 7,829.50
  4. Step 4: Simplify right side
    14,115.10x = 152,518,581.71
  5. Step 5: Solve for x
    x = 152,518,581.71/14,115.10
  6. Step 6: Final answer
    x = 10,805.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.