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Finding the Fourth Proportional to 19,782.78, 29,674.17 and 6,635.12

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Solution

The fourth proportional to 19,782.78, 29,674.17 and 6,635.12 is: 9,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.78 : 29,674.17 = 6,635.12 : x
  2. Step 2: Convert to fraction form
    19,782.78/29,674.17 = 6,635.12/x
  3. Step 3: Cross multiply
    19,782.78x = 29,674.17 × 6,635.12
  4. Step 4: Simplify right side
    19,782.78x = 196,891,547.07
  5. Step 5: Solve for x
    x = 196,891,547.07/19,782.78
  6. Step 6: Final answer
    x = 9,952.67

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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.