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Finding the Fourth Proportional to 8,763.16, 13,077.67 and 7,828.22

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Solution

The fourth proportional to 8,763.16, 13,077.67 and 7,828.22 is: 11,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.16 : 13,077.67 = 7,828.22 : x
  2. Step 2: Convert to fraction form
    8,763.16/13,077.67 = 7,828.22/x
  3. Step 3: Cross multiply
    8,763.16x = 13,077.67 × 7,828.22
  4. Step 4: Simplify right side
    8,763.16x = 102,374,812.46
  5. Step 5: Solve for x
    x = 102,374,812.46/8,763.16
  6. Step 6: Final answer
    x = 11,682.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.