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Finding the Fourth Proportional to 14,364.19, 19,823.71 and 7,991.28

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Solution

The fourth proportional to 14,364.19, 19,823.71 and 7,991.28 is: 11,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.19 : 19,823.71 = 7,991.28 : x
  2. Step 2: Convert to fraction form
    14,364.19/19,823.71 = 7,991.28/x
  3. Step 3: Cross multiply
    14,364.19x = 19,823.71 × 7,991.28
  4. Step 4: Simplify right side
    14,364.19x = 158,416,890.48
  5. Step 5: Solve for x
    x = 158,416,890.48/14,364.19
  6. Step 6: Final answer
    x = 11,028.60

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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.