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Finding the Fourth Proportional to 2,477.84, 3,419.15 and 1,415.87

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Solution

The fourth proportional to 2,477.84, 3,419.15 and 1,415.87 is: 1,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.84 : 3,419.15 = 1,415.87 : x
  2. Step 2: Convert to fraction form
    2,477.84/3,419.15 = 1,415.87/x
  3. Step 3: Cross multiply
    2,477.84x = 3,419.15 × 1,415.87
  4. Step 4: Simplify right side
    2,477.84x = 4,841,058.35
  5. Step 5: Solve for x
    x = 4,841,058.35/2,477.84
  6. Step 6: Final answer
    x = 1,953.75

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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.