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Finding the Fourth Proportional to 19,114.92, 26,390.85 and 12,312

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Solution

The fourth proportional to 19,114.92, 26,390.85 and 12,312 is: 16,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.92 : 26,390.85 = 12,312 : x
  2. Step 2: Convert to fraction form
    19,114.92/26,390.85 = 12,312/x
  3. Step 3: Cross multiply
    19,114.92x = 26,390.85 × 12,312
  4. Step 4: Simplify right side
    19,114.92x = 324,924,145.20
  5. Step 5: Solve for x
    x = 324,924,145.20/19,114.92
  6. Step 6: Final answer
    x = 16,998.46

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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.