Home / 6,461.42-8,916-3,628.40

Finding the Fourth Proportional to 6,461.42, 8,916 and 3,628.40

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Solution

The fourth proportional to 6,461.42, 8,916 and 3,628.40 is: 5,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.42 : 8,916 = 3,628.40 : x
  2. Step 2: Convert to fraction form
    6,461.42/8,916 = 3,628.40/x
  3. Step 3: Cross multiply
    6,461.42x = 8,916 × 3,628.40
  4. Step 4: Simplify right side
    6,461.42x = 32,350,814.40
  5. Step 5: Solve for x
    x = 32,350,814.40/6,461.42
  6. Step 6: Final answer
    x = 5,006.77

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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.