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Finding the Fourth Proportional to 13,058.78, 18,021.14 and 7,090.46

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Solution

The fourth proportional to 13,058.78, 18,021.14 and 7,090.46 is: 9,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.78 : 18,021.14 = 7,090.46 : x
  2. Step 2: Convert to fraction form
    13,058.78/18,021.14 = 7,090.46/x
  3. Step 3: Cross multiply
    13,058.78x = 18,021.14 × 7,090.46
  4. Step 4: Simplify right side
    13,058.78x = 127,778,172.32
  5. Step 5: Solve for x
    x = 127,778,172.32/13,058.78
  6. Step 6: Final answer
    x = 9,784.85

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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.