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Finding the Fourth Proportional to 15,699.36, 21,665.88 and 9,734.16

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Solution

The fourth proportional to 15,699.36, 21,665.88 and 9,734.16 is: 13,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699.36 : 21,665.88 = 9,734.16 : x
  2. Step 2: Convert to fraction form
    15,699.36/21,665.88 = 9,734.16/x
  3. Step 3: Cross multiply
    15,699.36x = 21,665.88 × 9,734.16
  4. Step 4: Simplify right side
    15,699.36x = 210,899,142.46
  5. Step 5: Solve for x
    x = 210,899,142.46/15,699.36
  6. Step 6: Final answer
    x = 13,433.61

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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.