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Finding the Fourth Proportional to 12,886.40, 19,335.80 and 6,309

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Solution

The fourth proportional to 12,886.40, 19,335.80 and 6,309 is: 9,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.40 : 19,335.80 = 6,309 : x
  2. Step 2: Convert to fraction form
    12,886.40/19,335.80 = 6,309/x
  3. Step 3: Cross multiply
    12,886.40x = 19,335.80 × 6,309
  4. Step 4: Simplify right side
    12,886.40x = 121,989,562.20
  5. Step 5: Solve for x
    x = 121,989,562.20/12,886.40
  6. Step 6: Final answer
    x = 9,466.54

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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.