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Finding the Fourth Proportional to 7,688.95, 10,611.88 and 4,704.30

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Solution

The fourth proportional to 7,688.95, 10,611.88 and 4,704.30 is: 6,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.95 : 10,611.88 = 4,704.30 : x
  2. Step 2: Convert to fraction form
    7,688.95/10,611.88 = 4,704.30/x
  3. Step 3: Cross multiply
    7,688.95x = 10,611.88 × 4,704.30
  4. Step 4: Simplify right side
    7,688.95x = 49,921,455.32
  5. Step 5: Solve for x
    x = 49,921,455.32/7,688.95
  6. Step 6: Final answer
    x = 6,492.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.