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Finding the Fourth Proportional to 19,678.64, 29,491.98 and 7,985.48

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Solution

The fourth proportional to 19,678.64, 29,491.98 and 7,985.48 is: 11,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.64 : 29,491.98 = 7,985.48 : x
  2. Step 2: Convert to fraction form
    19,678.64/29,491.98 = 7,985.48/x
  3. Step 3: Cross multiply
    19,678.64x = 29,491.98 × 7,985.48
  4. Step 4: Simplify right side
    19,678.64x = 235,507,468.99
  5. Step 5: Solve for x
    x = 235,507,468.99/19,678.64
  6. Step 6: Final answer
    x = 11,967.67

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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.