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Finding the Fourth Proportional to 3,537, 4,881.51 and 2,139.76

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Solution

The fourth proportional to 3,537, 4,881.51 and 2,139.76 is: 2,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 4,881.51 = 2,139.76 : x
  2. Step 2: Convert to fraction form
    3,537/4,881.51 = 2,139.76/x
  3. Step 3: Cross multiply
    3,537x = 4,881.51 × 2,139.76
  4. Step 4: Simplify right side
    3,537x = 10,445,259.84
  5. Step 5: Solve for x
    x = 10,445,259.84/3,537
  6. Step 6: Final answer
    x = 2,953.14

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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.