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Finding the Fourth Proportional to 7,700.98, 11,555.88 and 7,638.34

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Solution

The fourth proportional to 7,700.98, 11,555.88 and 7,638.34 is: 11,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.98 : 11,555.88 = 7,638.34 : x
  2. Step 2: Convert to fraction form
    7,700.98/11,555.88 = 7,638.34/x
  3. Step 3: Cross multiply
    7,700.98x = 11,555.88 × 7,638.34
  4. Step 4: Simplify right side
    7,700.98x = 88,267,740.44
  5. Step 5: Solve for x
    x = 88,267,740.44/7,700.98
  6. Step 6: Final answer
    x = 11,461.88

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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.