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Finding the Fourth Proportional to 6,513.72, 9,698.10 and 6,421.70

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Solution

The fourth proportional to 6,513.72, 9,698.10 and 6,421.70 is: 9,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.72 : 9,698.10 = 6,421.70 : x
  2. Step 2: Convert to fraction form
    6,513.72/9,698.10 = 6,421.70/x
  3. Step 3: Cross multiply
    6,513.72x = 9,698.10 × 6,421.70
  4. Step 4: Simplify right side
    6,513.72x = 62,278,288.77
  5. Step 5: Solve for x
    x = 62,278,288.77/6,513.72
  6. Step 6: Final answer
    x = 9,561.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.