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Finding the Fourth Proportional to 13,165.80, 19,710.30 and 11,783.40

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Solution

The fourth proportional to 13,165.80, 19,710.30 and 11,783.40 is: 17,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.80 : 19,710.30 = 11,783.40 : x
  2. Step 2: Convert to fraction form
    13,165.80/19,710.30 = 11,783.40/x
  3. Step 3: Cross multiply
    13,165.80x = 19,710.30 × 11,783.40
  4. Step 4: Simplify right side
    13,165.80x = 232,254,349.02
  5. Step 5: Solve for x
    x = 232,254,349.02/13,165.80
  6. Step 6: Final answer
    x = 17,640.73

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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.