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Finding the Fourth Proportional to 19,365, 29,049.12 and 7,678.32

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Solution

The fourth proportional to 19,365, 29,049.12 and 7,678.32 is: 11,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,365 : 29,049.12 = 7,678.32 : x
  2. Step 2: Convert to fraction form
    19,365/29,049.12 = 7,678.32/x
  3. Step 3: Cross multiply
    19,365x = 29,049.12 × 7,678.32
  4. Step 4: Simplify right side
    19,365x = 223,048,439.08
  5. Step 5: Solve for x
    x = 223,048,439.08/19,365
  6. Step 6: Final answer
    x = 11,518.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.