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Finding the Fourth Proportional to 13,986.64, 19,302.84 and 8,020.24

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Solution

The fourth proportional to 13,986.64, 19,302.84 and 8,020.24 is: 11,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.64 : 19,302.84 = 8,020.24 : x
  2. Step 2: Convert to fraction form
    13,986.64/19,302.84 = 8,020.24/x
  3. Step 3: Cross multiply
    13,986.64x = 19,302.84 × 8,020.24
  4. Step 4: Simplify right side
    13,986.64x = 154,813,409.48
  5. Step 5: Solve for x
    x = 154,813,409.48/13,986.64
  6. Step 6: Final answer
    x = 11,068.66

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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.