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Finding the Fourth Proportional to 14,214.12, 21,321 and 6,417.48

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Solution

The fourth proportional to 14,214.12, 21,321 and 6,417.48 is: 9,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.12 : 21,321 = 6,417.48 : x
  2. Step 2: Convert to fraction form
    14,214.12/21,321 = 6,417.48/x
  3. Step 3: Cross multiply
    14,214.12x = 21,321 × 6,417.48
  4. Step 4: Simplify right side
    14,214.12x = 136,827,091.08
  5. Step 5: Solve for x
    x = 136,827,091.08/14,214.12
  6. Step 6: Final answer
    x = 9,626.14

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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.