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Finding the Fourth Proportional to 13,973.65, 20,960.82 and 5,206.82

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Solution

The fourth proportional to 13,973.65, 20,960.82 and 5,206.82 is: 7,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.65 : 20,960.82 = 5,206.82 : x
  2. Step 2: Convert to fraction form
    13,973.65/20,960.82 = 5,206.82/x
  3. Step 3: Cross multiply
    13,973.65x = 20,960.82 × 5,206.82
  4. Step 4: Simplify right side
    13,973.65x = 109,139,111.99
  5. Step 5: Solve for x
    x = 109,139,111.99/13,973.65
  6. Step 6: Final answer
    x = 7,810.35

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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.