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Finding the Fourth Proportional to 30,526, 45,783.60 and 13,882.12

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Solution

The fourth proportional to 30,526, 45,783.60 and 13,882.12 is: 20,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,526 : 45,783.60 = 13,882.12 : x
  2. Step 2: Convert to fraction form
    30,526/45,783.60 = 13,882.12/x
  3. Step 3: Cross multiply
    30,526x = 45,783.60 × 13,882.12
  4. Step 4: Simplify right side
    30,526x = 635,573,429.23
  5. Step 5: Solve for x
    x = 635,573,429.23/30,526
  6. Step 6: Final answer
    x = 20,820.72

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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.