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Finding the Fourth Proportional to 5,172.66, 7,739.55 and 4,657.50

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Solution

The fourth proportional to 5,172.66, 7,739.55 and 4,657.50 is: 6,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.66 : 7,739.55 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    5,172.66/7,739.55 = 4,657.50/x
  3. Step 3: Cross multiply
    5,172.66x = 7,739.55 × 4,657.50
  4. Step 4: Simplify right side
    5,172.66x = 36,046,954.13
  5. Step 5: Solve for x
    x = 36,046,954.13/5,172.66
  6. Step 6: Final answer
    x = 6,968.75

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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.