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Finding the Fourth Proportional to 15,301, 21,083.06 and 14,249.16

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Solution

The fourth proportional to 15,301, 21,083.06 and 14,249.16 is: 19,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301 : 21,083.06 = 14,249.16 : x
  2. Step 2: Convert to fraction form
    15,301/21,083.06 = 14,249.16/x
  3. Step 3: Cross multiply
    15,301x = 21,083.06 × 14,249.16
  4. Step 4: Simplify right side
    15,301x = 300,415,895.23
  5. Step 5: Solve for x
    x = 300,415,895.23/15,301
  6. Step 6: Final answer
    x = 19,633.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.