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Finding the Fourth Proportional to 34,643.10, 51,964.65 and 12,457.20

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Solution

The fourth proportional to 34,643.10, 51,964.65 and 12,457.20 is: 18,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.10 : 51,964.65 = 12,457.20 : x
  2. Step 2: Convert to fraction form
    34,643.10/51,964.65 = 12,457.20/x
  3. Step 3: Cross multiply
    34,643.10x = 51,964.65 × 12,457.20
  4. Step 4: Simplify right side
    34,643.10x = 647,334,037.98
  5. Step 5: Solve for x
    x = 647,334,037.98/34,643.10
  6. Step 6: Final answer
    x = 18,685.80

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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.