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Finding the Fourth Proportional to 14,103.10, 19,463.64 and 7,815.47

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Solution

The fourth proportional to 14,103.10, 19,463.64 and 7,815.47 is: 10,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.10 : 19,463.64 = 7,815.47 : x
  2. Step 2: Convert to fraction form
    14,103.10/19,463.64 = 7,815.47/x
  3. Step 3: Cross multiply
    14,103.10x = 19,463.64 × 7,815.47
  4. Step 4: Simplify right side
    14,103.10x = 152,117,455.43
  5. Step 5: Solve for x
    x = 152,117,455.43/14,103.10
  6. Step 6: Final answer
    x = 10,786.10

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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.