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Finding the Fourth Proportional to 13,289.80, 19,936.14 and 4,973.80

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Solution

The fourth proportional to 13,289.80, 19,936.14 and 4,973.80 is: 7,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289.80 : 19,936.14 = 4,973.80 : x
  2. Step 2: Convert to fraction form
    13,289.80/19,936.14 = 4,973.80/x
  3. Step 3: Cross multiply
    13,289.80x = 19,936.14 × 4,973.80
  4. Step 4: Simplify right side
    13,289.80x = 99,158,373.13
  5. Step 5: Solve for x
    x = 99,158,373.13/13,289.80
  6. Step 6: Final answer
    x = 7,461.24

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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.