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Finding the Fourth Proportional to 12,810.61, 19,314.49 and 12,580.97

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Solution

The fourth proportional to 12,810.61, 19,314.49 and 12,580.97 is: 18,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.61 : 19,314.49 = 12,580.97 : x
  2. Step 2: Convert to fraction form
    12,810.61/19,314.49 = 12,580.97/x
  3. Step 3: Cross multiply
    12,810.61x = 19,314.49 × 12,580.97
  4. Step 4: Simplify right side
    12,810.61x = 242,995,036.09
  5. Step 5: Solve for x
    x = 242,995,036.09/12,810.61
  6. Step 6: Final answer
    x = 18,968.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.