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Finding the Fourth Proportional to 10,526.76, 15,786.50 and 8,077.32

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Solution

The fourth proportional to 10,526.76, 15,786.50 and 8,077.32 is: 12,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.76 : 15,786.50 = 8,077.32 : x
  2. Step 2: Convert to fraction form
    10,526.76/15,786.50 = 8,077.32/x
  3. Step 3: Cross multiply
    10,526.76x = 15,786.50 × 8,077.32
  4. Step 4: Simplify right side
    10,526.76x = 127,512,571.79
  5. Step 5: Solve for x
    x = 127,512,571.79/10,526.76
  6. Step 6: Final answer
    x = 12,113.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.