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Finding the Fourth Proportional to 6,478.81, 9,718.27 and 4,271.77

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Solution

The fourth proportional to 6,478.81, 9,718.27 and 4,271.77 is: 6,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.81 : 9,718.27 = 4,271.77 : x
  2. Step 2: Convert to fraction form
    6,478.81/9,718.27 = 4,271.77/x
  3. Step 3: Cross multiply
    6,478.81x = 9,718.27 × 4,271.77
  4. Step 4: Simplify right side
    6,478.81x = 41,514,215.71
  5. Step 5: Solve for x
    x = 41,514,215.71/6,478.81
  6. Step 6: Final answer
    x = 6,407.69

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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.