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Finding the Fourth Proportional to 2,135.76, 2,948.04 and 1,513.68

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Solution

The fourth proportional to 2,135.76, 2,948.04 and 1,513.68 is: 2,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.76 : 2,948.04 = 1,513.68 : x
  2. Step 2: Convert to fraction form
    2,135.76/2,948.04 = 1,513.68/x
  3. Step 3: Cross multiply
    2,135.76x = 2,948.04 × 1,513.68
  4. Step 4: Simplify right side
    2,135.76x = 4,462,389.19
  5. Step 5: Solve for x
    x = 4,462,389.19/2,135.76
  6. Step 6: Final answer
    x = 2,089.37

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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.