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Finding the Fourth Proportional to 30,683.08, 45,995.40 and 9,892

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Solution

The fourth proportional to 30,683.08, 45,995.40 and 9,892 is: 14,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.08 : 45,995.40 = 9,892 : x
  2. Step 2: Convert to fraction form
    30,683.08/45,995.40 = 9,892/x
  3. Step 3: Cross multiply
    30,683.08x = 45,995.40 × 9,892
  4. Step 4: Simplify right side
    30,683.08x = 454,986,496.80
  5. Step 5: Solve for x
    x = 454,986,496.80/30,683.08
  6. Step 6: Final answer
    x = 14,828.58

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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.