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Finding the Fourth Proportional to 12,573.60, 18,849.60 and 8,864.16

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Solution

The fourth proportional to 12,573.60, 18,849.60 and 8,864.16 is: 13,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.60 : 18,849.60 = 8,864.16 : x
  2. Step 2: Convert to fraction form
    12,573.60/18,849.60 = 8,864.16/x
  3. Step 3: Cross multiply
    12,573.60x = 18,849.60 × 8,864.16
  4. Step 4: Simplify right side
    12,573.60x = 167,085,870.34
  5. Step 5: Solve for x
    x = 167,085,870.34/12,573.60
  6. Step 6: Final answer
    x = 13,288.63

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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.