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Finding the Fourth Proportional to 13,782.60, 19,019.88 and 7,494.98

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Solution

The fourth proportional to 13,782.60, 19,019.88 and 7,494.98 is: 10,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.60 : 19,019.88 = 7,494.98 : x
  2. Step 2: Convert to fraction form
    13,782.60/19,019.88 = 7,494.98/x
  3. Step 3: Cross multiply
    13,782.60x = 19,019.88 × 7,494.98
  4. Step 4: Simplify right side
    13,782.60x = 142,553,620.20
  5. Step 5: Solve for x
    x = 142,553,620.20/13,782.60
  6. Step 6: Final answer
    x = 10,343.01

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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.