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Finding the Fourth Proportional to 13,090, 18,064.06 and 7,784.70

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Solution

The fourth proportional to 13,090, 18,064.06 and 7,784.70 is: 10,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090 : 18,064.06 = 7,784.70 : x
  2. Step 2: Convert to fraction form
    13,090/18,064.06 = 7,784.70/x
  3. Step 3: Cross multiply
    13,090x = 18,064.06 × 7,784.70
  4. Step 4: Simplify right side
    13,090x = 140,623,287.88
  5. Step 5: Solve for x
    x = 140,623,287.88/13,090
  6. Step 6: Final answer
    x = 10,742.80

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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.