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Finding the Fourth Proportional to 51,597, 77,364.90 and 21,999.72

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Solution

The fourth proportional to 51,597, 77,364.90 and 21,999.72 is: 32,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597 : 77,364.90 = 21,999.72 : x
  2. Step 2: Convert to fraction form
    51,597/77,364.90 = 21,999.72/x
  3. Step 3: Cross multiply
    51,597x = 77,364.90 × 21,999.72
  4. Step 4: Simplify right side
    51,597x = 1,702,006,137.83
  5. Step 5: Solve for x
    x = 1,702,006,137.83/51,597
  6. Step 6: Final answer
    x = 32,986.53

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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.