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Finding the Fourth Proportional to 47,520, 65,577.60 and 27,648

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Solution

The fourth proportional to 47,520, 65,577.60 and 27,648 is: 38,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,520 : 65,577.60 = 27,648 : x
  2. Step 2: Convert to fraction form
    47,520/65,577.60 = 27,648/x
  3. Step 3: Cross multiply
    47,520x = 65,577.60 × 27,648
  4. Step 4: Simplify right side
    47,520x = 1,813,089,484.80
  5. Step 5: Solve for x
    x = 1,813,089,484.80/47,520
  6. Step 6: Final answer
    x = 38,154.24

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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.