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Finding the Fourth Proportional to 7,718.90, 10,652.10 and 4,182.10

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Solution

The fourth proportional to 7,718.90, 10,652.10 and 4,182.10 is: 5,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.90 : 10,652.10 = 4,182.10 : x
  2. Step 2: Convert to fraction form
    7,718.90/10,652.10 = 4,182.10/x
  3. Step 3: Cross multiply
    7,718.90x = 10,652.10 × 4,182.10
  4. Step 4: Simplify right side
    7,718.90x = 44,548,094.15
  5. Step 5: Solve for x
    x = 44,548,094.15/7,718.90
  6. Step 6: Final answer
    x = 5,771.30

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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.