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Finding the Fourth Proportional to 13,783.19, 20,664.59 and 4,417.76

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Solution

The fourth proportional to 13,783.19, 20,664.59 and 4,417.76 is: 6,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.19 : 20,664.59 = 4,417.76 : x
  2. Step 2: Convert to fraction form
    13,783.19/20,664.59 = 4,417.76/x
  3. Step 3: Cross multiply
    13,783.19x = 20,664.59 × 4,417.76
  4. Step 4: Simplify right side
    13,783.19x = 91,291,228.69
  5. Step 5: Solve for x
    x = 91,291,228.69/13,783.19
  6. Step 6: Final answer
    x = 6,623.38

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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.