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Finding the Fourth Proportional to 14,410.80, 21,605.70 and 9,719.16

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Solution

The fourth proportional to 14,410.80, 21,605.70 and 9,719.16 is: 14,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.80 : 21,605.70 = 9,719.16 : x
  2. Step 2: Convert to fraction form
    14,410.80/21,605.70 = 9,719.16/x
  3. Step 3: Cross multiply
    14,410.80x = 21,605.70 × 9,719.16
  4. Step 4: Simplify right side
    14,410.80x = 209,989,255.21
  5. Step 5: Solve for x
    x = 209,989,255.21/14,410.80
  6. Step 6: Final answer
    x = 14,571.66

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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.