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Finding the Fourth Proportional to 9,806.40, 14,716.80 and 6,518.40

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Solution

The fourth proportional to 9,806.40, 14,716.80 and 6,518.40 is: 9,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.40 : 14,716.80 = 6,518.40 : x
  2. Step 2: Convert to fraction form
    9,806.40/14,716.80 = 6,518.40/x
  3. Step 3: Cross multiply
    9,806.40x = 14,716.80 × 6,518.40
  4. Step 4: Simplify right side
    9,806.40x = 95,929,989.12
  5. Step 5: Solve for x
    x = 95,929,989.12/9,806.40
  6. Step 6: Final answer
    x = 9,782.39

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1.5x scale

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.