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Finding the Fourth Proportional to 45,826.64, 68,739.92 and 12,547

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Solution

The fourth proportional to 45,826.64, 68,739.92 and 12,547 is: 18,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,826.64 : 68,739.92 = 12,547 : x
  2. Step 2: Convert to fraction form
    45,826.64/68,739.92 = 12,547/x
  3. Step 3: Cross multiply
    45,826.64x = 68,739.92 × 12,547
  4. Step 4: Simplify right side
    45,826.64x = 862,479,776.24
  5. Step 5: Solve for x
    x = 862,479,776.24/45,826.64
  6. Step 6: Final answer
    x = 18,820.49

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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.