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Finding the Fourth Proportional to 8,539.90, 12,734.50 and 8,235.34

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Solution

The fourth proportional to 8,539.90, 12,734.50 and 8,235.34 is: 12,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.90 : 12,734.50 = 8,235.34 : x
  2. Step 2: Convert to fraction form
    8,539.90/12,734.50 = 8,235.34/x
  3. Step 3: Cross multiply
    8,539.90x = 12,734.50 × 8,235.34
  4. Step 4: Simplify right side
    8,539.90x = 104,872,937.23
  5. Step 5: Solve for x
    x = 104,872,937.23/8,539.90
  6. Step 6: Final answer
    x = 12,280.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.