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Finding the Fourth Proportional to 9,157.65, 13,703.66 and 7,929.28

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Solution

The fourth proportional to 9,157.65, 13,703.66 and 7,929.28 is: 11,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.65 : 13,703.66 = 7,929.28 : x
  2. Step 2: Convert to fraction form
    9,157.65/13,703.66 = 7,929.28/x
  3. Step 3: Cross multiply
    9,157.65x = 13,703.66 × 7,929.28
  4. Step 4: Simplify right side
    9,157.65x = 108,660,157.16
  5. Step 5: Solve for x
    x = 108,660,157.16/9,157.65
  6. Step 6: Final answer
    x = 11,865.51

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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.