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Finding the Fourth Proportional to 8,384.13, 11,570.10 and 4,658.13

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Solution

The fourth proportional to 8,384.13, 11,570.10 and 4,658.13 is: 6,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.13 : 11,570.10 = 4,658.13 : x
  2. Step 2: Convert to fraction form
    8,384.13/11,570.10 = 4,658.13/x
  3. Step 3: Cross multiply
    8,384.13x = 11,570.10 × 4,658.13
  4. Step 4: Simplify right side
    8,384.13x = 53,895,029.91
  5. Step 5: Solve for x
    x = 53,895,029.91/8,384.13
  6. Step 6: Final answer
    x = 6,428.22

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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.