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Finding the Fourth Proportional to 12,345.87, 18,506.52 and 7,966.41

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Solution

The fourth proportional to 12,345.87, 18,506.52 and 7,966.41 is: 11,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.87 : 18,506.52 = 7,966.41 : x
  2. Step 2: Convert to fraction form
    12,345.87/18,506.52 = 7,966.41/x
  3. Step 3: Cross multiply
    12,345.87x = 18,506.52 × 7,966.41
  4. Step 4: Simplify right side
    12,345.87x = 147,430,525.99
  5. Step 5: Solve for x
    x = 147,430,525.99/12,345.87
  6. Step 6: Final answer
    x = 11,941.69

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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.