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Finding the Fourth Proportional to 10,907.36, 15,041.36 and 6,714.80

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Solution

The fourth proportional to 10,907.36, 15,041.36 and 6,714.80 is: 9,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.36 : 15,041.36 = 6,714.80 : x
  2. Step 2: Convert to fraction form
    10,907.36/15,041.36 = 6,714.80/x
  3. Step 3: Cross multiply
    10,907.36x = 15,041.36 × 6,714.80
  4. Step 4: Simplify right side
    10,907.36x = 100,999,724.13
  5. Step 5: Solve for x
    x = 100,999,724.13/10,907.36
  6. Step 6: Final answer
    x = 9,259.78

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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.