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Finding the Fourth Proportional to 6,471.63, 8,935.38 and 5,148.45

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Solution

The fourth proportional to 6,471.63, 8,935.38 and 5,148.45 is: 7,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.63 : 8,935.38 = 5,148.45 : x
  2. Step 2: Convert to fraction form
    6,471.63/8,935.38 = 5,148.45/x
  3. Step 3: Cross multiply
    6,471.63x = 8,935.38 × 5,148.45
  4. Step 4: Simplify right side
    6,471.63x = 46,003,357.16
  5. Step 5: Solve for x
    x = 46,003,357.16/6,471.63
  6. Step 6: Final answer
    x = 7,108.47

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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.