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Finding the Fourth Proportional to 48,283, 66,630.72 and 28,153.78

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Solution

The fourth proportional to 48,283, 66,630.72 and 28,153.78 is: 38,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,283 : 66,630.72 = 28,153.78 : x
  2. Step 2: Convert to fraction form
    48,283/66,630.72 = 28,153.78/x
  3. Step 3: Cross multiply
    48,283x = 66,630.72 × 28,153.78
  4. Step 4: Simplify right side
    48,283x = 1,875,906,632.12
  5. Step 5: Solve for x
    x = 1,875,906,632.12/48,283
  6. Step 6: Final answer
    x = 38,852.32

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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.