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Finding the Fourth Proportional to 11,078.40, 16,585.20 and 9,782.40

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Solution

The fourth proportional to 11,078.40, 16,585.20 and 9,782.40 is: 14,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.40 : 16,585.20 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    11,078.40/16,585.20 = 9,782.40/x
  3. Step 3: Cross multiply
    11,078.40x = 16,585.20 × 9,782.40
  4. Step 4: Simplify right side
    11,078.40x = 162,243,060.48
  5. Step 5: Solve for x
    x = 162,243,060.48/11,078.40
  6. Step 6: Final answer
    x = 14,644.99

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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.