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Finding the Fourth Proportional to 6,384.92, 8,817 and 4,810.28

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Solution

The fourth proportional to 6,384.92, 8,817 and 4,810.28 is: 6,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.92 : 8,817 = 4,810.28 : x
  2. Step 2: Convert to fraction form
    6,384.92/8,817 = 4,810.28/x
  3. Step 3: Cross multiply
    6,384.92x = 8,817 × 4,810.28
  4. Step 4: Simplify right side
    6,384.92x = 42,412,238.76
  5. Step 5: Solve for x
    x = 42,412,238.76/6,384.92
  6. Step 6: Final answer
    x = 6,642.56

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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.