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Finding the Fourth Proportional to 47,988.96, 66,225.24 and 27,858

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Solution

The fourth proportional to 47,988.96, 66,225.24 and 27,858 is: 38,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988.96 : 66,225.24 = 27,858 : x
  2. Step 2: Convert to fraction form
    47,988.96/66,225.24 = 27,858/x
  3. Step 3: Cross multiply
    47,988.96x = 66,225.24 × 27,858
  4. Step 4: Simplify right side
    47,988.96x = 1,844,902,735.92
  5. Step 5: Solve for x
    x = 1,844,902,735.92/47,988.96
  6. Step 6: Final answer
    x = 38,444.32

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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.