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Finding the Fourth Proportional to 6,543.10, 9,851.49 and 5,768.08

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Solution

The fourth proportional to 6,543.10, 9,851.49 and 5,768.08 is: 8,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.10 : 9,851.49 = 5,768.08 : x
  2. Step 2: Convert to fraction form
    6,543.10/9,851.49 = 5,768.08/x
  3. Step 3: Cross multiply
    6,543.10x = 9,851.49 × 5,768.08
  4. Step 4: Simplify right side
    6,543.10x = 56,824,157.81
  5. Step 5: Solve for x
    x = 56,824,157.81/6,543.10
  6. Step 6: Final answer
    x = 8,684.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.