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Finding the Fourth Proportional to 3,462.40, 4,776 and 2,133.76

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Solution

The fourth proportional to 3,462.40, 4,776 and 2,133.76 is: 2,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.40 : 4,776 = 2,133.76 : x
  2. Step 2: Convert to fraction form
    3,462.40/4,776 = 2,133.76/x
  3. Step 3: Cross multiply
    3,462.40x = 4,776 × 2,133.76
  4. Step 4: Simplify right side
    3,462.40x = 10,190,837.76
  5. Step 5: Solve for x
    x = 10,190,837.76/3,462.40
  6. Step 6: Final answer
    x = 2,943.29

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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.