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Finding the Fourth Proportional to 16,881.92, 23,264.16 and 12,157.28

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Solution

The fourth proportional to 16,881.92, 23,264.16 and 12,157.28 is: 16,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.92 : 23,264.16 = 12,157.28 : x
  2. Step 2: Convert to fraction form
    16,881.92/23,264.16 = 12,157.28/x
  3. Step 3: Cross multiply
    16,881.92x = 23,264.16 × 12,157.28
  4. Step 4: Simplify right side
    16,881.92x = 282,828,907.08
  5. Step 5: Solve for x
    x = 282,828,907.08/16,881.92
  6. Step 6: Final answer
    x = 16,753.36

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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.