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Finding the Fourth Proportional to 30,266.40, 45,410.40 and 12,741.60

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Solution

The fourth proportional to 30,266.40, 45,410.40 and 12,741.60 is: 19,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.40 : 45,410.40 = 12,741.60 : x
  2. Step 2: Convert to fraction form
    30,266.40/45,410.40 = 12,741.60/x
  3. Step 3: Cross multiply
    30,266.40x = 45,410.40 × 12,741.60
  4. Step 4: Simplify right side
    30,266.40x = 578,601,152.64
  5. Step 5: Solve for x
    x = 578,601,152.64/30,266.40
  6. Step 6: Final answer
    x = 19,116.95

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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.