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Finding the Fourth Proportional to 8,643.42, 12,964.59 and 4,257

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Solution

The fourth proportional to 8,643.42, 12,964.59 and 4,257 is: 6,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.42 : 12,964.59 = 4,257 : x
  2. Step 2: Convert to fraction form
    8,643.42/12,964.59 = 4,257/x
  3. Step 3: Cross multiply
    8,643.42x = 12,964.59 × 4,257
  4. Step 4: Simplify right side
    8,643.42x = 55,190,259.63
  5. Step 5: Solve for x
    x = 55,190,259.63/8,643.42
  6. Step 6: Final answer
    x = 6,385.23

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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.