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Finding the Fourth Proportional to 15,674.13, 21,640.43 and 9,712.13

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Solution

The fourth proportional to 15,674.13, 21,640.43 and 9,712.13 is: 13,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.13 : 21,640.43 = 9,712.13 : x
  2. Step 2: Convert to fraction form
    15,674.13/21,640.43 = 9,712.13/x
  3. Step 3: Cross multiply
    15,674.13x = 21,640.43 × 9,712.13
  4. Step 4: Simplify right side
    15,674.13x = 210,174,585.49
  5. Step 5: Solve for x
    x = 210,174,585.49/15,674.13
  6. Step 6: Final answer
    x = 13,409.01

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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.