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Finding the Fourth Proportional to 30,477.96, 45,713.94 and 9,412.38

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Solution

The fourth proportional to 30,477.96, 45,713.94 and 9,412.38 is: 14,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.96 : 45,713.94 = 9,412.38 : x
  2. Step 2: Convert to fraction form
    30,477.96/45,713.94 = 9,412.38/x
  3. Step 3: Cross multiply
    30,477.96x = 45,713.94 × 9,412.38
  4. Step 4: Simplify right side
    30,477.96x = 430,276,974.58
  5. Step 5: Solve for x
    x = 430,276,974.58/30,477.96
  6. Step 6: Final answer
    x = 14,117.64

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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.