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Finding the Fourth Proportional to 14,010.64, 21,024 and 5,689.12

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Solution

The fourth proportional to 14,010.64, 21,024 and 5,689.12 is: 8,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.64 : 21,024 = 5,689.12 : x
  2. Step 2: Convert to fraction form
    14,010.64/21,024 = 5,689.12/x
  3. Step 3: Cross multiply
    14,010.64x = 21,024 × 5,689.12
  4. Step 4: Simplify right side
    14,010.64x = 119,608,058.88
  5. Step 5: Solve for x
    x = 119,608,058.88/14,010.64
  6. Step 6: Final answer
    x = 8,536.94

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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.