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Finding the Fourth Proportional to 12,312.16, 18,468.42 and 3,078.16

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Solution

The fourth proportional to 12,312.16, 18,468.42 and 3,078.16 is: 4,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.16 : 18,468.42 = 3,078.16 : x
  2. Step 2: Convert to fraction form
    12,312.16/18,468.42 = 3,078.16/x
  3. Step 3: Cross multiply
    12,312.16x = 18,468.42 × 3,078.16
  4. Step 4: Simplify right side
    12,312.16x = 56,848,751.71
  5. Step 5: Solve for x
    x = 56,848,751.71/12,312.16
  6. Step 6: Final answer
    x = 4,617.29

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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.