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Finding the Fourth Proportional to 9,922.30, 13,690.02 and 7,090.54

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Solution

The fourth proportional to 9,922.30, 13,690.02 and 7,090.54 is: 9,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.30 : 13,690.02 = 7,090.54 : x
  2. Step 2: Convert to fraction form
    9,922.30/13,690.02 = 7,090.54/x
  3. Step 3: Cross multiply
    9,922.30x = 13,690.02 × 7,090.54
  4. Step 4: Simplify right side
    9,922.30x = 97,069,634.41
  5. Step 5: Solve for x
    x = 97,069,634.41/9,922.30
  6. Step 6: Final answer
    x = 9,782.98

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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.