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Finding the Fourth Proportional to 3,776.41, 5,666.71 and 1,313

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Solution

The fourth proportional to 3,776.41, 5,666.71 and 1,313 is: 1,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.41 : 5,666.71 = 1,313 : x
  2. Step 2: Convert to fraction form
    3,776.41/5,666.71 = 1,313/x
  3. Step 3: Cross multiply
    3,776.41x = 5,666.71 × 1,313
  4. Step 4: Simplify right side
    3,776.41x = 7,440,390.23
  5. Step 5: Solve for x
    x = 7,440,390.23/3,776.41
  6. Step 6: Final answer
    x = 1,970.23

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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.