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Finding the Fourth Proportional to 21,271.78, 31,907.67 and 5,689

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Solution

The fourth proportional to 21,271.78, 31,907.67 and 5,689 is: 8,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,271.78 : 31,907.67 = 5,689 : x
  2. Step 2: Convert to fraction form
    21,271.78/31,907.67 = 5,689/x
  3. Step 3: Cross multiply
    21,271.78x = 31,907.67 × 5,689
  4. Step 4: Simplify right side
    21,271.78x = 181,522,734.63
  5. Step 5: Solve for x
    x = 181,522,734.63/21,271.78
  6. Step 6: Final answer
    x = 8,533.50

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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.