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Finding the Fourth Proportional to 15,705.68, 21,664.80 and 9,414.40

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Solution

The fourth proportional to 15,705.68, 21,664.80 and 9,414.40 is: 12,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.68 : 21,664.80 = 9,414.40 : x
  2. Step 2: Convert to fraction form
    15,705.68/21,664.80 = 9,414.40/x
  3. Step 3: Cross multiply
    15,705.68x = 21,664.80 × 9,414.40
  4. Step 4: Simplify right side
    15,705.68x = 203,961,093.12
  5. Step 5: Solve for x
    x = 203,961,093.12/15,705.68
  6. Step 6: Final answer
    x = 12,986.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.