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Finding the Fourth Proportional to 2,656, 3,985.71 and 1,117

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Solution

The fourth proportional to 2,656, 3,985.71 and 1,117 is: 1,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656 : 3,985.71 = 1,117 : x
  2. Step 2: Convert to fraction form
    2,656/3,985.71 = 1,117/x
  3. Step 3: Cross multiply
    2,656x = 3,985.71 × 1,117
  4. Step 4: Simplify right side
    2,656x = 4,452,038.07
  5. Step 5: Solve for x
    x = 4,452,038.07/2,656
  6. Step 6: Final answer
    x = 1,676.22

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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.