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Finding the Fourth Proportional to 30,577.14, 45,865.71 and 9,815.22

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Solution

The fourth proportional to 30,577.14, 45,865.71 and 9,815.22 is: 14,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.14 : 45,865.71 = 9,815.22 : x
  2. Step 2: Convert to fraction form
    30,577.14/45,865.71 = 9,815.22/x
  3. Step 3: Cross multiply
    30,577.14x = 45,865.71 × 9,815.22
  4. Step 4: Simplify right side
    30,577.14x = 450,182,034.11
  5. Step 5: Solve for x
    x = 450,182,034.11/30,577.14
  6. Step 6: Final answer
    x = 14,722.83

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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.