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Finding the Fourth Proportional to 30,427.50, 45,647.01 and 14,011.50

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Solution

The fourth proportional to 30,427.50, 45,647.01 and 14,011.50 is: 21,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.50 : 45,647.01 = 14,011.50 : x
  2. Step 2: Convert to fraction form
    30,427.50/45,647.01 = 14,011.50/x
  3. Step 3: Cross multiply
    30,427.50x = 45,647.01 × 14,011.50
  4. Step 4: Simplify right side
    30,427.50x = 639,583,080.62
  5. Step 5: Solve for x
    x = 639,583,080.62/30,427.50
  6. Step 6: Final answer
    x = 21,019.90

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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.