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Finding the Fourth Proportional to 7,057.69, 9,740.05 and 3,913.88

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Solution

The fourth proportional to 7,057.69, 9,740.05 and 3,913.88 is: 5,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.69 : 9,740.05 = 3,913.88 : x
  2. Step 2: Convert to fraction form
    7,057.69/9,740.05 = 3,913.88/x
  3. Step 3: Cross multiply
    7,057.69x = 9,740.05 × 3,913.88
  4. Step 4: Simplify right side
    7,057.69x = 38,121,386.89
  5. Step 5: Solve for x
    x = 38,121,386.89/7,057.69
  6. Step 6: Final answer
    x = 5,401.40

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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.