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Finding the Fourth Proportional to 14,019.53, 19,346.90 and 7,731.90

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Solution

The fourth proportional to 14,019.53, 19,346.90 and 7,731.90 is: 10,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.53 : 19,346.90 = 7,731.90 : x
  2. Step 2: Convert to fraction form
    14,019.53/19,346.90 = 7,731.90/x
  3. Step 3: Cross multiply
    14,019.53x = 19,346.90 × 7,731.90
  4. Step 4: Simplify right side
    14,019.53x = 149,588,257.45
  5. Step 5: Solve for x
    x = 149,588,257.45/14,019.53
  6. Step 6: Final answer
    x = 10,669.99

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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.