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Finding the Fourth Proportional to 2,987.96, 4,482.59 and 907.97

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Solution

The fourth proportional to 2,987.96, 4,482.59 and 907.97 is: 1,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.96 : 4,482.59 = 907.97 : x
  2. Step 2: Convert to fraction form
    2,987.96/4,482.59 = 907.97/x
  3. Step 3: Cross multiply
    2,987.96x = 4,482.59 × 907.97
  4. Step 4: Simplify right side
    2,987.96x = 4,070,030.29
  5. Step 5: Solve for x
    x = 4,070,030.29/2,987.96
  6. Step 6: Final answer
    x = 1,362.15

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1.5x scale

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.