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Finding the Fourth Proportional to 25,782.62, 35,569.40 and 15,707.40

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Solution

The fourth proportional to 25,782.62, 35,569.40 and 15,707.40 is: 21,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.62 : 35,569.40 = 15,707.40 : x
  2. Step 2: Convert to fraction form
    25,782.62/35,569.40 = 15,707.40/x
  3. Step 3: Cross multiply
    25,782.62x = 35,569.40 × 15,707.40
  4. Step 4: Simplify right side
    25,782.62x = 558,702,793.56
  5. Step 5: Solve for x
    x = 558,702,793.56/25,782.62
  6. Step 6: Final answer
    x = 21,669.74

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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.