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Finding the Fourth Proportional to 6,972.95, 9,611.60 and 5,478.30

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Solution

The fourth proportional to 6,972.95, 9,611.60 and 5,478.30 is: 7,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.95 : 9,611.60 = 5,478.30 : x
  2. Step 2: Convert to fraction form
    6,972.95/9,611.60 = 5,478.30/x
  3. Step 3: Cross multiply
    6,972.95x = 9,611.60 × 5,478.30
  4. Step 4: Simplify right side
    6,972.95x = 52,655,200.89
  5. Step 5: Solve for x
    x = 52,655,200.89/6,972.95
  6. Step 6: Final answer
    x = 7,551.35

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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.