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Finding the Fourth Proportional to 30,577.80, 45,866.70 and 27,661.80

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Solution

The fourth proportional to 30,577.80, 45,866.70 and 27,661.80 is: 41,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.80 : 45,866.70 = 27,661.80 : x
  2. Step 2: Convert to fraction form
    30,577.80/45,866.70 = 27,661.80/x
  3. Step 3: Cross multiply
    30,577.80x = 45,866.70 × 27,661.80
  4. Step 4: Simplify right side
    30,577.80x = 1,268,755,482.06
  5. Step 5: Solve for x
    x = 1,268,755,482.06/30,577.80
  6. Step 6: Final answer
    x = 41,492.70

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1.5x scale

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.