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Finding the Fourth Proportional to 4,258.98, 6,386.31 and 1,948.50

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Solution

The fourth proportional to 4,258.98, 6,386.31 and 1,948.50 is: 2,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.98 : 6,386.31 = 1,948.50 : x
  2. Step 2: Convert to fraction form
    4,258.98/6,386.31 = 1,948.50/x
  3. Step 3: Cross multiply
    4,258.98x = 6,386.31 × 1,948.50
  4. Step 4: Simplify right side
    4,258.98x = 12,443,725.04
  5. Step 5: Solve for x
    x = 12,443,725.04/4,258.98
  6. Step 6: Final answer
    x = 2,921.76

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1.5x scale

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.