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Finding the Fourth Proportional to 38,405.40, 53,008.74 and 25,659.24

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Solution

The fourth proportional to 38,405.40, 53,008.74 and 25,659.24 is: 35,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405.40 : 53,008.74 = 25,659.24 : x
  2. Step 2: Convert to fraction form
    38,405.40/53,008.74 = 25,659.24/x
  3. Step 3: Cross multiply
    38,405.40x = 53,008.74 × 25,659.24
  4. Step 4: Simplify right side
    38,405.40x = 1,360,163,981.76
  5. Step 5: Solve for x
    x = 1,360,163,981.76/38,405.40
  6. Step 6: Final answer
    x = 35,415.96

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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.