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Finding the Fourth Proportional to 18,864.78, 28,303.30 and 9,002.78

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Solution

The fourth proportional to 18,864.78, 28,303.30 and 9,002.78 is: 13,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864.78 : 28,303.30 = 9,002.78 : x
  2. Step 2: Convert to fraction form
    18,864.78/28,303.30 = 9,002.78/x
  3. Step 3: Cross multiply
    18,864.78x = 28,303.30 × 9,002.78
  4. Step 4: Simplify right side
    18,864.78x = 254,808,383.17
  5. Step 5: Solve for x
    x = 254,808,383.17/18,864.78
  6. Step 6: Final answer
    x = 13,507.10

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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.