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Finding the Fourth Proportional to 15,871.16, 21,903.24 and 9,157.06

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Solution

The fourth proportional to 15,871.16, 21,903.24 and 9,157.06 is: 12,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.16 : 21,903.24 = 9,157.06 : x
  2. Step 2: Convert to fraction form
    15,871.16/21,903.24 = 9,157.06/x
  3. Step 3: Cross multiply
    15,871.16x = 21,903.24 × 9,157.06
  4. Step 4: Simplify right side
    15,871.16x = 200,569,282.87
  5. Step 5: Solve for x
    x = 200,569,282.87/15,871.16
  6. Step 6: Final answer
    x = 12,637.34

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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.