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Finding the Fourth Proportional to 9,250, 12,765.12 and 5,058.34

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Solution

The fourth proportional to 9,250, 12,765.12 and 5,058.34 is: 6,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250 : 12,765.12 = 5,058.34 : x
  2. Step 2: Convert to fraction form
    9,250/12,765.12 = 5,058.34/x
  3. Step 3: Cross multiply
    9,250x = 12,765.12 × 5,058.34
  4. Step 4: Simplify right side
    9,250x = 64,570,317.10
  5. Step 5: Solve for x
    x = 64,570,317.10/9,250
  6. Step 6: Final answer
    x = 6,980.57

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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.