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Finding the Fourth Proportional to 47,978.58, 66,210.75 and 27,847.50

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Solution

The fourth proportional to 47,978.58, 66,210.75 and 27,847.50 is: 38,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.58 : 66,210.75 = 27,847.50 : x
  2. Step 2: Convert to fraction form
    47,978.58/66,210.75 = 27,847.50/x
  3. Step 3: Cross multiply
    47,978.58x = 66,210.75 × 27,847.50
  4. Step 4: Simplify right side
    47,978.58x = 1,843,803,860.63
  5. Step 5: Solve for x
    x = 1,843,803,860.63/47,978.58
  6. Step 6: Final answer
    x = 38,429.73

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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.