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Finding the Fourth Proportional to 12,630.61, 18,946.05 and 5,697.01

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Solution

The fourth proportional to 12,630.61, 18,946.05 and 5,697.01 is: 8,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,630.61 : 18,946.05 = 5,697.01 : x
  2. Step 2: Convert to fraction form
    12,630.61/18,946.05 = 5,697.01/x
  3. Step 3: Cross multiply
    12,630.61x = 18,946.05 × 5,697.01
  4. Step 4: Simplify right side
    12,630.61x = 107,935,836.31
  5. Step 5: Solve for x
    x = 107,935,836.31/12,630.61
  6. Step 6: Final answer
    x = 8,545.58

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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.