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Finding the Fourth Proportional to 8,384.99, 12,569.93 and 3,187.13

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Solution

The fourth proportional to 8,384.99, 12,569.93 and 3,187.13 is: 4,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.99 : 12,569.93 = 3,187.13 : x
  2. Step 2: Convert to fraction form
    8,384.99/12,569.93 = 3,187.13/x
  3. Step 3: Cross multiply
    8,384.99x = 12,569.93 × 3,187.13
  4. Step 4: Simplify right side
    8,384.99x = 40,061,985.07
  5. Step 5: Solve for x
    x = 40,061,985.07/8,384.99
  6. Step 6: Final answer
    x = 4,777.82

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1.5x scale

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.