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Finding the Fourth Proportional to 34,689.80, 52,047.72 and 20,657.90

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Solution

The fourth proportional to 34,689.80, 52,047.72 and 20,657.90 is: 30,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.80 : 52,047.72 = 20,657.90 : x
  2. Step 2: Convert to fraction form
    34,689.80/52,047.72 = 20,657.90/x
  3. Step 3: Cross multiply
    34,689.80x = 52,047.72 × 20,657.90
  4. Step 4: Simplify right side
    34,689.80x = 1,075,196,334.75
  5. Step 5: Solve for x
    x = 1,075,196,334.75/34,689.80
  6. Step 6: Final answer
    x = 30,994.60

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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.