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Finding the Fourth Proportional to 15,278.36, 22,923.36 and 7,878.11

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Solution

The fourth proportional to 15,278.36, 22,923.36 and 7,878.11 is: 11,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.36 : 22,923.36 = 7,878.11 : x
  2. Step 2: Convert to fraction form
    15,278.36/22,923.36 = 7,878.11/x
  3. Step 3: Cross multiply
    15,278.36x = 22,923.36 × 7,878.11
  4. Step 4: Simplify right side
    15,278.36x = 180,592,637.03
  5. Step 5: Solve for x
    x = 180,592,637.03/15,278.36
  6. Step 6: Final answer
    x = 11,820.16

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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.