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Finding the Fourth Proportional to 14,843, 20,477.66 and 9,809.64

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Solution

The fourth proportional to 14,843, 20,477.66 and 9,809.64 is: 13,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843 : 20,477.66 = 9,809.64 : x
  2. Step 2: Convert to fraction form
    14,843/20,477.66 = 9,809.64/x
  3. Step 3: Cross multiply
    14,843x = 20,477.66 × 9,809.64
  4. Step 4: Simplify right side
    14,843x = 200,878,472.64
  5. Step 5: Solve for x
    x = 200,878,472.64/14,843
  6. Step 6: Final answer
    x = 13,533.55

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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.