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Finding the Fourth Proportional to 15,147.84, 20,904.08 and 8,433.45

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Solution

The fourth proportional to 15,147.84, 20,904.08 and 8,433.45 is: 11,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.84 : 20,904.08 = 8,433.45 : x
  2. Step 2: Convert to fraction form
    15,147.84/20,904.08 = 8,433.45/x
  3. Step 3: Cross multiply
    15,147.84x = 20,904.08 × 8,433.45
  4. Step 4: Simplify right side
    15,147.84x = 176,293,513.48
  5. Step 5: Solve for x
    x = 176,293,513.48/15,147.84
  6. Step 6: Final answer
    x = 11,638.19

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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.