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Finding the Fourth Proportional to 14,404.62, 19,878.38 and 7,780.62

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Solution

The fourth proportional to 14,404.62, 19,878.38 and 7,780.62 is: 10,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.62 : 19,878.38 = 7,780.62 : x
  2. Step 2: Convert to fraction form
    14,404.62/19,878.38 = 7,780.62/x
  3. Step 3: Cross multiply
    14,404.62x = 19,878.38 × 7,780.62
  4. Step 4: Simplify right side
    14,404.62x = 154,666,121.00
  5. Step 5: Solve for x
    x = 154,666,121.00/14,404.62
  6. Step 6: Final answer
    x = 10,737.26

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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.