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Finding the Fourth Proportional to 25,978.16, 35,847.80 and 15,902.40

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Solution

The fourth proportional to 25,978.16, 35,847.80 and 15,902.40 is: 21,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.16 : 35,847.80 = 15,902.40 : x
  2. Step 2: Convert to fraction form
    25,978.16/35,847.80 = 15,902.40/x
  3. Step 3: Cross multiply
    25,978.16x = 35,847.80 × 15,902.40
  4. Step 4: Simplify right side
    25,978.16x = 570,066,054.72
  5. Step 5: Solve for x
    x = 570,066,054.72/25,978.16
  6. Step 6: Final answer
    x = 21,944.05

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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.