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Finding the Fourth Proportional to 19,693.80, 29,509.74 and 12,287.16

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Solution

The fourth proportional to 19,693.80, 29,509.74 and 12,287.16 is: 18,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.80 : 29,509.74 = 12,287.16 : x
  2. Step 2: Convert to fraction form
    19,693.80/29,509.74 = 12,287.16/x
  3. Step 3: Cross multiply
    19,693.80x = 29,509.74 × 12,287.16
  4. Step 4: Simplify right side
    19,693.80x = 362,590,896.94
  5. Step 5: Solve for x
    x = 362,590,896.94/19,693.80
  6. Step 6: Final answer
    x = 18,411.42

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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.