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Finding the Fourth Proportional to 18,897.30, 28,333.80 and 7,808.40

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Solution

The fourth proportional to 18,897.30, 28,333.80 and 7,808.40 is: 11,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,897.30 : 28,333.80 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    18,897.30/28,333.80 = 7,808.40/x
  3. Step 3: Cross multiply
    18,897.30x = 28,333.80 × 7,808.40
  4. Step 4: Simplify right side
    18,897.30x = 221,241,643.92
  5. Step 5: Solve for x
    x = 221,241,643.92/18,897.30
  6. Step 6: Final answer
    x = 11,707.58

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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.