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Finding the Fourth Proportional to 30,130.74, 45,194.24 and 7,943.63

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Solution

The fourth proportional to 30,130.74, 45,194.24 and 7,943.63 is: 11,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,130.74 : 45,194.24 = 7,943.63 : x
  2. Step 2: Convert to fraction form
    30,130.74/45,194.24 = 7,943.63/x
  3. Step 3: Cross multiply
    30,130.74x = 45,194.24 × 7,943.63
  4. Step 4: Simplify right side
    30,130.74x = 359,006,055.00
  5. Step 5: Solve for x
    x = 359,006,055.00/30,130.74
  6. Step 6: Final answer
    x = 11,914.94

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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.