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Finding the Fourth Proportional to 15,705.34, 21,661.08 and 9,733.63

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Solution

The fourth proportional to 15,705.34, 21,661.08 and 9,733.63 is: 13,424.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.34 : 21,661.08 = 9,733.63 : x
  2. Step 2: Convert to fraction form
    15,705.34/21,661.08 = 9,733.63/x
  3. Step 3: Cross multiply
    15,705.34x = 21,661.08 × 9,733.63
  4. Step 4: Simplify right side
    15,705.34x = 210,840,938.12
  5. Step 5: Solve for x
    x = 210,840,938.12/15,705.34
  6. Step 6: Final answer
    x = 13,424.79

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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.