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Finding the Fourth Proportional to 2,346, 3,513.80 and 1,521.76

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Solution

The fourth proportional to 2,346, 3,513.80 and 1,521.76 is: 2,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346 : 3,513.80 = 1,521.76 : x
  2. Step 2: Convert to fraction form
    2,346/3,513.80 = 1,521.76/x
  3. Step 3: Cross multiply
    2,346x = 3,513.80 × 1,521.76
  4. Step 4: Simplify right side
    2,346x = 5,347,160.29
  5. Step 5: Solve for x
    x = 5,347,160.29/2,346
  6. Step 6: Final answer
    x = 2,279.27

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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.