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Finding the Fourth Proportional to 2,091.79, 2,886.51 and 1,207

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Solution

The fourth proportional to 2,091.79, 2,886.51 and 1,207 is: 1,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.79 : 2,886.51 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,091.79/2,886.51 = 1,207/x
  3. Step 3: Cross multiply
    2,091.79x = 2,886.51 × 1,207
  4. Step 4: Simplify right side
    2,091.79x = 3,484,017.57
  5. Step 5: Solve for x
    x = 3,484,017.57/2,091.79
  6. Step 6: Final answer
    x = 1,665.57

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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.