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Finding the Fourth Proportional to 1,763.79, 2,434.01 and 977.82

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Solution

The fourth proportional to 1,763.79, 2,434.01 and 977.82 is: 1,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.79 : 2,434.01 = 977.82 : x
  2. Step 2: Convert to fraction form
    1,763.79/2,434.01 = 977.82/x
  3. Step 3: Cross multiply
    1,763.79x = 2,434.01 × 977.82
  4. Step 4: Simplify right side
    1,763.79x = 2,380,018.77
  5. Step 5: Solve for x
    x = 2,380,018.77/1,763.79
  6. Step 6: Final answer
    x = 1,349.38

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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.