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Finding the Fourth Proportional to 30,464.72, 45,720.16 and 12,946.88

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Solution

The fourth proportional to 30,464.72, 45,720.16 and 12,946.88 is: 19,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.72 : 45,720.16 = 12,946.88 : x
  2. Step 2: Convert to fraction form
    30,464.72/45,720.16 = 12,946.88/x
  3. Step 3: Cross multiply
    30,464.72x = 45,720.16 × 12,946.88
  4. Step 4: Simplify right side
    30,464.72x = 591,933,425.10
  5. Step 5: Solve for x
    x = 591,933,425.10/30,464.72
  6. Step 6: Final answer
    x = 19,430.13

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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.