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Finding the Fourth Proportional to 15,078.16, 20,795.16 and 9,701.44

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Solution

The fourth proportional to 15,078.16, 20,795.16 and 9,701.44 is: 13,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.16 : 20,795.16 = 9,701.44 : x
  2. Step 2: Convert to fraction form
    15,078.16/20,795.16 = 9,701.44/x
  3. Step 3: Cross multiply
    15,078.16x = 20,795.16 × 9,701.44
  4. Step 4: Simplify right side
    15,078.16x = 201,742,997.03
  5. Step 5: Solve for x
    x = 201,742,997.03/15,078.16
  6. Step 6: Final answer
    x = 13,379.82

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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.