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Finding the Fourth Proportional to 15,394, 23,082.74 and 7,980.08

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Solution

The fourth proportional to 15,394, 23,082.74 and 7,980.08 is: 11,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394 : 23,082.74 = 7,980.08 : x
  2. Step 2: Convert to fraction form
    15,394/23,082.74 = 7,980.08/x
  3. Step 3: Cross multiply
    15,394x = 23,082.74 × 7,980.08
  4. Step 4: Simplify right side
    15,394x = 184,202,111.82
  5. Step 5: Solve for x
    x = 184,202,111.82/15,394
  6. Step 6: Final answer
    x = 11,965.84

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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.