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Finding the Fourth Proportional to 6,478.67, 8,941.05 and 3,646.51

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Solution

The fourth proportional to 6,478.67, 8,941.05 and 3,646.51 is: 5,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.67 : 8,941.05 = 3,646.51 : x
  2. Step 2: Convert to fraction form
    6,478.67/8,941.05 = 3,646.51/x
  3. Step 3: Cross multiply
    6,478.67x = 8,941.05 × 3,646.51
  4. Step 4: Simplify right side
    6,478.67x = 32,603,628.24
  5. Step 5: Solve for x
    x = 32,603,628.24/6,478.67
  6. Step 6: Final answer
    x = 5,032.46

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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.