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Finding the Fourth Proportional to 2,484, 3,428.64 and 1,656

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Solution

The fourth proportional to 2,484, 3,428.64 and 1,656 is: 2,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484 : 3,428.64 = 1,656 : x
  2. Step 2: Convert to fraction form
    2,484/3,428.64 = 1,656/x
  3. Step 3: Cross multiply
    2,484x = 3,428.64 × 1,656
  4. Step 4: Simplify right side
    2,484x = 5,677,827.84
  5. Step 5: Solve for x
    x = 5,677,827.84/2,484
  6. Step 6: Final answer
    x = 2,285.76

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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.