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Finding the Fourth Proportional to 10,357.80, 15,523.73 and 5,165.16

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Solution

The fourth proportional to 10,357.80, 15,523.73 and 5,165.16 is: 7,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.80 : 15,523.73 = 5,165.16 : x
  2. Step 2: Convert to fraction form
    10,357.80/15,523.73 = 5,165.16/x
  3. Step 3: Cross multiply
    10,357.80x = 15,523.73 × 5,165.16
  4. Step 4: Simplify right side
    10,357.80x = 80,182,549.25
  5. Step 5: Solve for x
    x = 80,182,549.25/10,357.80
  6. Step 6: Final answer
    x = 7,741.27

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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.