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Finding the Fourth Proportional to 12,646.85, 18,969.12 and 5,627.18

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Solution

The fourth proportional to 12,646.85, 18,969.12 and 5,627.18 is: 8,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.85 : 18,969.12 = 5,627.18 : x
  2. Step 2: Convert to fraction form
    12,646.85/18,969.12 = 5,627.18/x
  3. Step 3: Cross multiply
    12,646.85x = 18,969.12 × 5,627.18
  4. Step 4: Simplify right side
    12,646.85x = 106,742,700.10
  5. Step 5: Solve for x
    x = 106,742,700.10/12,646.85
  6. Step 6: Final answer
    x = 8,440.26

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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.