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Finding the Fourth Proportional to 12,395.54, 17,106 and 7,090.22

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Solution

The fourth proportional to 12,395.54, 17,106 and 7,090.22 is: 9,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.54 : 17,106 = 7,090.22 : x
  2. Step 2: Convert to fraction form
    12,395.54/17,106 = 7,090.22/x
  3. Step 3: Cross multiply
    12,395.54x = 17,106 × 7,090.22
  4. Step 4: Simplify right side
    12,395.54x = 121,285,303.32
  5. Step 5: Solve for x
    x = 121,285,303.32/12,395.54
  6. Step 6: Final answer
    x = 9,784.59

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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.