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Finding the Fourth Proportional to 3,058.19, 4,587.30 and 866.93

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Solution

The fourth proportional to 3,058.19, 4,587.30 and 866.93 is: 1,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.19 : 4,587.30 = 866.93 : x
  2. Step 2: Convert to fraction form
    3,058.19/4,587.30 = 866.93/x
  3. Step 3: Cross multiply
    3,058.19x = 4,587.30 × 866.93
  4. Step 4: Simplify right side
    3,058.19x = 3,976,867.99
  5. Step 5: Solve for x
    x = 3,976,867.99/3,058.19
  6. Step 6: Final answer
    x = 1,300.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.