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Finding the Fourth Proportional to 7,847.76, 11,717.50 and 6,389.68

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Solution

The fourth proportional to 7,847.76, 11,717.50 and 6,389.68 is: 9,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.76 : 11,717.50 = 6,389.68 : x
  2. Step 2: Convert to fraction form
    7,847.76/11,717.50 = 6,389.68/x
  3. Step 3: Cross multiply
    7,847.76x = 11,717.50 × 6,389.68
  4. Step 4: Simplify right side
    7,847.76x = 74,871,075.40
  5. Step 5: Solve for x
    x = 74,871,075.40/7,847.76
  6. Step 6: Final answer
    x = 9,540.44

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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.