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Finding the Fourth Proportional to 3,312.78, 4,968.99 and 847.50

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Solution

The fourth proportional to 3,312.78, 4,968.99 and 847.50 is: 1,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.78 : 4,968.99 = 847.50 : x
  2. Step 2: Convert to fraction form
    3,312.78/4,968.99 = 847.50/x
  3. Step 3: Cross multiply
    3,312.78x = 4,968.99 × 847.50
  4. Step 4: Simplify right side
    3,312.78x = 4,211,219.03
  5. Step 5: Solve for x
    x = 4,211,219.03/3,312.78
  6. Step 6: Final answer
    x = 1,271.20

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Double scale
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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.