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Finding the Fourth Proportional to 10,157.54, 15,207.14 and 7,507.22

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Solution

The fourth proportional to 10,157.54, 15,207.14 and 7,507.22 is: 11,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.54 : 15,207.14 = 7,507.22 : x
  2. Step 2: Convert to fraction form
    10,157.54/15,207.14 = 7,507.22/x
  3. Step 3: Cross multiply
    10,157.54x = 15,207.14 × 7,507.22
  4. Step 4: Simplify right side
    10,157.54x = 114,163,345.55
  5. Step 5: Solve for x
    x = 114,163,345.55/10,157.54
  6. Step 6: Final answer
    x = 11,239.27

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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.