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Finding the Fourth Proportional to 25,629, 35,368.02 and 13,853

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Solution

The fourth proportional to 25,629, 35,368.02 and 13,853 is: 19,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629 : 35,368.02 = 13,853 : x
  2. Step 2: Convert to fraction form
    25,629/35,368.02 = 13,853/x
  3. Step 3: Cross multiply
    25,629x = 35,368.02 × 13,853
  4. Step 4: Simplify right side
    25,629x = 489,953,181.06
  5. Step 5: Solve for x
    x = 489,953,181.06/25,629
  6. Step 6: Final answer
    x = 19,117.14

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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.