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Finding the Fourth Proportional to 5,258.16, 7,887 and 1,309.34

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Solution

The fourth proportional to 5,258.16, 7,887 and 1,309.34 is: 1,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.16 : 7,887 = 1,309.34 : x
  2. Step 2: Convert to fraction form
    5,258.16/7,887 = 1,309.34/x
  3. Step 3: Cross multiply
    5,258.16x = 7,887 × 1,309.34
  4. Step 4: Simplify right side
    5,258.16x = 10,326,764.58
  5. Step 5: Solve for x
    x = 10,326,764.58/5,258.16
  6. Step 6: Final answer
    x = 1,963.95

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Why These Related Problems?

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