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Finding the Fourth Proportional to 30,351.42, 45,533.90 and 9,294.42

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Solution

The fourth proportional to 30,351.42, 45,533.90 and 9,294.42 is: 13,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351.42 : 45,533.90 = 9,294.42 : x
  2. Step 2: Convert to fraction form
    30,351.42/45,533.90 = 9,294.42/x
  3. Step 3: Cross multiply
    30,351.42x = 45,533.90 × 9,294.42
  4. Step 4: Simplify right side
    30,351.42x = 423,211,144.37
  5. Step 5: Solve for x
    x = 423,211,144.37/30,351.42
  6. Step 6: Final answer
    x = 13,943.70

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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.