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Finding the Fourth Proportional to 19,758.78, 29,649.87 and 7,287.57

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Solution

The fourth proportional to 19,758.78, 29,649.87 and 7,287.57 is: 10,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.78 : 29,649.87 = 7,287.57 : x
  2. Step 2: Convert to fraction form
    19,758.78/29,649.87 = 7,287.57/x
  3. Step 3: Cross multiply
    19,758.78x = 29,649.87 × 7,287.57
  4. Step 4: Simplify right side
    19,758.78x = 216,075,503.12
  5. Step 5: Solve for x
    x = 216,075,503.12/19,758.78
  6. Step 6: Final answer
    x = 10,935.67

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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.