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Finding the Fourth Proportional to 10,636.64, 14,678 and 5,920.08

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Solution

The fourth proportional to 10,636.64, 14,678 and 5,920.08 is: 8,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.64 : 14,678 = 5,920.08 : x
  2. Step 2: Convert to fraction form
    10,636.64/14,678 = 5,920.08/x
  3. Step 3: Cross multiply
    10,636.64x = 14,678 × 5,920.08
  4. Step 4: Simplify right side
    10,636.64x = 86,894,934.24
  5. Step 5: Solve for x
    x = 86,894,934.24/10,636.64
  6. Step 6: Final answer
    x = 8,169.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.