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Finding the Fourth Proportional to 14,771.74, 20,392.53 and 11,407

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Solution

The fourth proportional to 14,771.74, 20,392.53 and 11,407 is: 15,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.74 : 20,392.53 = 11,407 : x
  2. Step 2: Convert to fraction form
    14,771.74/20,392.53 = 11,407/x
  3. Step 3: Cross multiply
    14,771.74x = 20,392.53 × 11,407
  4. Step 4: Simplify right side
    14,771.74x = 232,617,532.68
  5. Step 5: Solve for x
    x = 232,617,532.68/14,771.74
  6. Step 6: Final answer
    x = 15,747.47

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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.