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Finding the Fourth Proportional to 12,345.84, 18,519.16 and 5,420.16

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Solution

The fourth proportional to 12,345.84, 18,519.16 and 5,420.16 is: 8,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.84 : 18,519.16 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    12,345.84/18,519.16 = 5,420.16/x
  3. Step 3: Cross multiply
    12,345.84x = 18,519.16 × 5,420.16
  4. Step 4: Simplify right side
    12,345.84x = 100,376,810.27
  5. Step 5: Solve for x
    x = 100,376,810.27/12,345.84
  6. Step 6: Final answer
    x = 8,130.42

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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.