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Finding the Fourth Proportional to 14,115.69, 19,479.54 and 7,828.05

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Solution

The fourth proportional to 14,115.69, 19,479.54 and 7,828.05 is: 10,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.69 : 19,479.54 = 7,828.05 : x
  2. Step 2: Convert to fraction form
    14,115.69/19,479.54 = 7,828.05/x
  3. Step 3: Cross multiply
    14,115.69x = 19,479.54 × 7,828.05
  4. Step 4: Simplify right side
    14,115.69x = 152,486,813.10
  5. Step 5: Solve for x
    x = 152,486,813.10/14,115.69
  6. Step 6: Final answer
    x = 10,802.65

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1.5x scale

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.