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Finding the Fourth Proportional to 7,130.93, 9,841.21 and 4,106.58

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Solution

The fourth proportional to 7,130.93, 9,841.21 and 4,106.58 is: 5,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.93 : 9,841.21 = 4,106.58 : x
  2. Step 2: Convert to fraction form
    7,130.93/9,841.21 = 4,106.58/x
  3. Step 3: Cross multiply
    7,130.93x = 9,841.21 × 4,106.58
  4. Step 4: Simplify right side
    7,130.93x = 40,413,666.96
  5. Step 5: Solve for x
    x = 40,413,666.96/7,130.93
  6. Step 6: Final answer
    x = 5,667.38

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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.