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Finding the Fourth Proportional to 4,689.63, 7,030.96 and 2,840.31

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Solution

The fourth proportional to 4,689.63, 7,030.96 and 2,840.31 is: 4,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.63 : 7,030.96 = 2,840.31 : x
  2. Step 2: Convert to fraction form
    4,689.63/7,030.96 = 2,840.31/x
  3. Step 3: Cross multiply
    4,689.63x = 7,030.96 × 2,840.31
  4. Step 4: Simplify right side
    4,689.63x = 19,970,098.90
  5. Step 5: Solve for x
    x = 19,970,098.90/4,689.63
  6. Step 6: Final answer
    x = 4,258.35

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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.