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Finding the Fourth Proportional to 10,872.76, 15,019.93 and 8,503.51

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Solution

The fourth proportional to 10,872.76, 15,019.93 and 8,503.51 is: 11,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.76 : 15,019.93 = 8,503.51 : x
  2. Step 2: Convert to fraction form
    10,872.76/15,019.93 = 8,503.51/x
  3. Step 3: Cross multiply
    10,872.76x = 15,019.93 × 8,503.51
  4. Step 4: Simplify right side
    10,872.76x = 127,722,124.95
  5. Step 5: Solve for x
    x = 127,722,124.95/10,872.76
  6. Step 6: Final answer
    x = 11,746.98

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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.