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Finding the Fourth Proportional to 12,607.96, 18,881.70 and 9,664.60

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Solution

The fourth proportional to 12,607.96, 18,881.70 and 9,664.60 is: 14,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.96 : 18,881.70 = 9,664.60 : x
  2. Step 2: Convert to fraction form
    12,607.96/18,881.70 = 9,664.60/x
  3. Step 3: Cross multiply
    12,607.96x = 18,881.70 × 9,664.60
  4. Step 4: Simplify right side
    12,607.96x = 182,484,077.82
  5. Step 5: Solve for x
    x = 182,484,077.82/12,607.96
  6. Step 6: Final answer
    x = 14,473.72

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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.