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Finding the Fourth Proportional to 26,698.42, 40,047.12 and 7,978.51

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Solution

The fourth proportional to 26,698.42, 40,047.12 and 7,978.51 is: 11,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698.42 : 40,047.12 = 7,978.51 : x
  2. Step 2: Convert to fraction form
    26,698.42/40,047.12 = 7,978.51/x
  3. Step 3: Cross multiply
    26,698.42x = 40,047.12 × 7,978.51
  4. Step 4: Simplify right side
    26,698.42x = 319,516,347.39
  5. Step 5: Solve for x
    x = 319,516,347.39/26,698.42
  6. Step 6: Final answer
    x = 11,967.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.