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Finding the Fourth Proportional to 19,862.70, 29,786.23 and 7,209.44

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Solution

The fourth proportional to 19,862.70, 29,786.23 and 7,209.44 is: 10,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.70 : 29,786.23 = 7,209.44 : x
  2. Step 2: Convert to fraction form
    19,862.70/29,786.23 = 7,209.44/x
  3. Step 3: Cross multiply
    19,862.70x = 29,786.23 × 7,209.44
  4. Step 4: Simplify right side
    19,862.70x = 214,742,038.01
  5. Step 5: Solve for x
    x = 214,742,038.01/19,862.70
  6. Step 6: Final answer
    x = 10,811.32

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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.