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Finding the Fourth Proportional to 55,283.50, 82,938.21 and 18,347.50

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Solution

The fourth proportional to 55,283.50, 82,938.21 and 18,347.50 is: 27,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,283.50 : 82,938.21 = 18,347.50 : x
  2. Step 2: Convert to fraction form
    55,283.50/82,938.21 = 18,347.50/x
  3. Step 3: Cross multiply
    55,283.50x = 82,938.21 × 18,347.50
  4. Step 4: Simplify right side
    55,283.50x = 1,521,708,807.98
  5. Step 5: Solve for x
    x = 1,521,708,807.98/55,283.50
  6. Step 6: Final answer
    x = 27,525.55

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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.