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Finding the Fourth Proportional to 30,357.54, 45,538.47 and 9,580.50

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Solution

The fourth proportional to 30,357.54, 45,538.47 and 9,580.50 is: 14,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.54 : 45,538.47 = 9,580.50 : x
  2. Step 2: Convert to fraction form
    30,357.54/45,538.47 = 9,580.50/x
  3. Step 3: Cross multiply
    30,357.54x = 45,538.47 × 9,580.50
  4. Step 4: Simplify right side
    30,357.54x = 436,281,311.84
  5. Step 5: Solve for x
    x = 436,281,311.84/30,357.54
  6. Step 6: Final answer
    x = 14,371.43

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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.