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Finding the Fourth Proportional to 21,102.80, 29,127.62 and 13,140.32

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Solution

The fourth proportional to 21,102.80, 29,127.62 and 13,140.32 is: 18,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.80 : 29,127.62 = 13,140.32 : x
  2. Step 2: Convert to fraction form
    21,102.80/29,127.62 = 13,140.32/x
  3. Step 3: Cross multiply
    21,102.80x = 29,127.62 × 13,140.32
  4. Step 4: Simplify right side
    21,102.80x = 382,746,247.64
  5. Step 5: Solve for x
    x = 382,746,247.64/21,102.80
  6. Step 6: Final answer
    x = 18,137.23

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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.