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Finding the Fourth Proportional to 30,780, 46,113.30 and 27,459.27

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Solution

The fourth proportional to 30,780, 46,113.30 and 27,459.27 is: 41,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 46,113.30 = 27,459.27 : x
  2. Step 2: Convert to fraction form
    30,780/46,113.30 = 27,459.27/x
  3. Step 3: Cross multiply
    30,780x = 46,113.30 × 27,459.27
  4. Step 4: Simplify right side
    30,780x = 1,266,237,555.29
  5. Step 5: Solve for x
    x = 1,266,237,555.29/30,780
  6. Step 6: Final answer
    x = 41,138.32

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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.