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Finding the Fourth Proportional to 11,512.80, 15,869.79 and 9,630.63

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Solution

The fourth proportional to 11,512.80, 15,869.79 and 9,630.63 is: 13,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.80 : 15,869.79 = 9,630.63 : x
  2. Step 2: Convert to fraction form
    11,512.80/15,869.79 = 9,630.63/x
  3. Step 3: Cross multiply
    11,512.80x = 15,869.79 × 9,630.63
  4. Step 4: Simplify right side
    11,512.80x = 152,836,075.67
  5. Step 5: Solve for x
    x = 152,836,075.67/11,512.80
  6. Step 6: Final answer
    x = 13,275.32

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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.