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Finding the Fourth Proportional to 9,700.40, 13,361.62 and 6,862.88

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Solution

The fourth proportional to 9,700.40, 13,361.62 and 6,862.88 is: 9,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.40 : 13,361.62 = 6,862.88 : x
  2. Step 2: Convert to fraction form
    9,700.40/13,361.62 = 6,862.88/x
  3. Step 3: Cross multiply
    9,700.40x = 13,361.62 × 6,862.88
  4. Step 4: Simplify right side
    9,700.40x = 91,699,194.67
  5. Step 5: Solve for x
    x = 91,699,194.67/9,700.40
  6. Step 6: Final answer
    x = 9,453.14

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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.