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Finding the Fourth Proportional to 14,415.13, 19,894.31 and 8,749.43

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Solution

The fourth proportional to 14,415.13, 19,894.31 and 8,749.43 is: 12,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.13 : 19,894.31 = 8,749.43 : x
  2. Step 2: Convert to fraction form
    14,415.13/19,894.31 = 8,749.43/x
  3. Step 3: Cross multiply
    14,415.13x = 19,894.31 × 8,749.43
  4. Step 4: Simplify right side
    14,415.13x = 174,063,948.84
  5. Step 5: Solve for x
    x = 174,063,948.84/14,415.13
  6. Step 6: Final answer
    x = 12,075.09

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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.