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Finding the Fourth Proportional to 12,788, 19,160.16 and 9,071.84

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Solution

The fourth proportional to 12,788, 19,160.16 and 9,071.84 is: 13,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788 : 19,160.16 = 9,071.84 : x
  2. Step 2: Convert to fraction form
    12,788/19,160.16 = 9,071.84/x
  3. Step 3: Cross multiply
    12,788x = 19,160.16 × 9,071.84
  4. Step 4: Simplify right side
    12,788x = 173,817,905.89
  5. Step 5: Solve for x
    x = 173,817,905.89/12,788
  6. Step 6: Final answer
    x = 13,592.27

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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.