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Finding the Fourth Proportional to 7,145, 9,859.28 and 4,160.20

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Solution

The fourth proportional to 7,145, 9,859.28 and 4,160.20 is: 5,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145 : 9,859.28 = 4,160.20 : x
  2. Step 2: Convert to fraction form
    7,145/9,859.28 = 4,160.20/x
  3. Step 3: Cross multiply
    7,145x = 9,859.28 × 4,160.20
  4. Step 4: Simplify right side
    7,145x = 41,016,576.66
  5. Step 5: Solve for x
    x = 41,016,576.66/7,145
  6. Step 6: Final answer
    x = 5,740.60

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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.