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Finding the Fourth Proportional to 9,090.63, 13,642.22 and 5,972.13

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Solution

The fourth proportional to 9,090.63, 13,642.22 and 5,972.13 is: 8,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.63 : 13,642.22 = 5,972.13 : x
  2. Step 2: Convert to fraction form
    9,090.63/13,642.22 = 5,972.13/x
  3. Step 3: Cross multiply
    9,090.63x = 13,642.22 × 5,972.13
  4. Step 4: Simplify right side
    9,090.63x = 81,473,126.26
  5. Step 5: Solve for x
    x = 81,473,126.26/9,090.63
  6. Step 6: Final answer
    x = 8,962.32

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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.