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Finding the Fourth Proportional to 25,706, 35,477.20 and 14,528.72

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Solution

The fourth proportional to 25,706, 35,477.20 and 14,528.72 is: 20,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706 : 35,477.20 = 14,528.72 : x
  2. Step 2: Convert to fraction form
    25,706/35,477.20 = 14,528.72/x
  3. Step 3: Cross multiply
    25,706x = 35,477.20 × 14,528.72
  4. Step 4: Simplify right side
    25,706x = 515,438,305.18
  5. Step 5: Solve for x
    x = 515,438,305.18/25,706
  6. Step 6: Final answer
    x = 20,051.28

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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.