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Finding the Fourth Proportional to 19,705, 27,192.90 and 13,428.31

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Solution

The fourth proportional to 19,705, 27,192.90 and 13,428.31 is: 18,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705 : 27,192.90 = 13,428.31 : x
  2. Step 2: Convert to fraction form
    19,705/27,192.90 = 13,428.31/x
  3. Step 3: Cross multiply
    19,705x = 27,192.90 × 13,428.31
  4. Step 4: Simplify right side
    19,705x = 365,154,691.00
  5. Step 5: Solve for x
    x = 365,154,691.00/19,705
  6. Step 6: Final answer
    x = 18,531.07

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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.