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Finding the Fourth Proportional to 18,955.78, 28,421.51 and 7,870.12

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Solution

The fourth proportional to 18,955.78, 28,421.51 and 7,870.12 is: 11,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,955.78 : 28,421.51 = 7,870.12 : x
  2. Step 2: Convert to fraction form
    18,955.78/28,421.51 = 7,870.12/x
  3. Step 3: Cross multiply
    18,955.78x = 28,421.51 × 7,870.12
  4. Step 4: Simplify right side
    18,955.78x = 223,680,654.93
  5. Step 5: Solve for x
    x = 223,680,654.93/18,955.78
  6. Step 6: Final answer
    x = 11,800.13

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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.