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Finding the Fourth Proportional to 12,652.29, 18,989.95 and 6,734.14

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Solution

The fourth proportional to 12,652.29, 18,989.95 and 6,734.14 is: 10,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.29 : 18,989.95 = 6,734.14 : x
  2. Step 2: Convert to fraction form
    12,652.29/18,989.95 = 6,734.14/x
  3. Step 3: Cross multiply
    12,652.29x = 18,989.95 × 6,734.14
  4. Step 4: Simplify right side
    12,652.29x = 127,881,055.12
  5. Step 5: Solve for x
    x = 127,881,055.12/12,652.29
  6. Step 6: Final answer
    x = 10,107.35

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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.