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Finding the Fourth Proportional to 15,297.16, 22,891 and 11,987.52

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Solution

The fourth proportional to 15,297.16, 22,891 and 11,987.52 is: 17,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.16 : 22,891 = 11,987.52 : x
  2. Step 2: Convert to fraction form
    15,297.16/22,891 = 11,987.52/x
  3. Step 3: Cross multiply
    15,297.16x = 22,891 × 11,987.52
  4. Step 4: Simplify right side
    15,297.16x = 274,406,320.32
  5. Step 5: Solve for x
    x = 274,406,320.32/15,297.16
  6. Step 6: Final answer
    x = 17,938.38

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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.