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Finding the Fourth Proportional to 14,389, 19,851.96 and 8,722.24

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Solution

The fourth proportional to 14,389, 19,851.96 and 8,722.24 is: 12,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389 : 19,851.96 = 8,722.24 : x
  2. Step 2: Convert to fraction form
    14,389/19,851.96 = 8,722.24/x
  3. Step 3: Cross multiply
    14,389x = 19,851.96 × 8,722.24
  4. Step 4: Simplify right side
    14,389x = 173,153,559.59
  5. Step 5: Solve for x
    x = 173,153,559.59/14,389
  6. Step 6: Final answer
    x = 12,033.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.