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Finding the Fourth Proportional to 1,615.65, 2,416.64 and 1,511.76

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Solution

The fourth proportional to 1,615.65, 2,416.64 and 1,511.76 is: 2,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.65 : 2,416.64 = 1,511.76 : x
  2. Step 2: Convert to fraction form
    1,615.65/2,416.64 = 1,511.76/x
  3. Step 3: Cross multiply
    1,615.65x = 2,416.64 × 1,511.76
  4. Step 4: Simplify right side
    1,615.65x = 3,653,381.19
  5. Step 5: Solve for x
    x = 3,653,381.19/1,615.65
  6. Step 6: Final answer
    x = 2,261.25

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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.