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Finding the Fourth Proportional to 19,707.75, 27,196.74 and 12,643.74

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Solution

The fourth proportional to 19,707.75, 27,196.74 and 12,643.74 is: 17,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.75 : 27,196.74 = 12,643.74 : x
  2. Step 2: Convert to fraction form
    19,707.75/27,196.74 = 12,643.74/x
  3. Step 3: Cross multiply
    19,707.75x = 27,196.74 × 12,643.74
  4. Step 4: Simplify right side
    19,707.75x = 343,868,509.41
  5. Step 5: Solve for x
    x = 343,868,509.41/19,707.75
  6. Step 6: Final answer
    x = 17,448.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.