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Finding the Fourth Proportional to 2,987.91, 4,482.03 and 907.98

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Solution

The fourth proportional to 2,987.91, 4,482.03 and 907.98 is: 1,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.91 : 4,482.03 = 907.98 : x
  2. Step 2: Convert to fraction form
    2,987.91/4,482.03 = 907.98/x
  3. Step 3: Cross multiply
    2,987.91x = 4,482.03 × 907.98
  4. Step 4: Simplify right side
    2,987.91x = 4,069,593.60
  5. Step 5: Solve for x
    x = 4,069,593.60/2,987.91
  6. Step 6: Final answer
    x = 1,362.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.