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Finding the Fourth Proportional to 30,270, 45,406.08 and 8,084.64

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Solution

The fourth proportional to 30,270, 45,406.08 and 8,084.64 is: 12,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270 : 45,406.08 = 8,084.64 : x
  2. Step 2: Convert to fraction form
    30,270/45,406.08 = 8,084.64/x
  3. Step 3: Cross multiply
    30,270x = 45,406.08 × 8,084.64
  4. Step 4: Simplify right side
    30,270x = 367,091,810.61
  5. Step 5: Solve for x
    x = 367,091,810.61/30,270
  6. Step 6: Final answer
    x = 12,127.25

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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.