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Finding the Fourth Proportional to 13,783.01, 19,020.98 and 7,814.93

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Solution

The fourth proportional to 13,783.01, 19,020.98 and 7,814.93 is: 10,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.01 : 19,020.98 = 7,814.93 : x
  2. Step 2: Convert to fraction form
    13,783.01/19,020.98 = 7,814.93/x
  3. Step 3: Cross multiply
    13,783.01x = 19,020.98 × 7,814.93
  4. Step 4: Simplify right side
    13,783.01x = 148,647,694.32
  5. Step 5: Solve for x
    x = 148,647,694.32/13,783.01
  6. Step 6: Final answer
    x = 10,784.85

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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.