Home / 1,948.29-2,688.64-1,064.14

Finding the Fourth Proportional to 1,948.29, 2,688.64 and 1,064.14

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Solution

The fourth proportional to 1,948.29, 2,688.64 and 1,064.14 is: 1,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.29 : 2,688.64 = 1,064.14 : x
  2. Step 2: Convert to fraction form
    1,948.29/2,688.64 = 1,064.14/x
  3. Step 3: Cross multiply
    1,948.29x = 2,688.64 × 1,064.14
  4. Step 4: Simplify right side
    1,948.29x = 2,861,089.37
  5. Step 5: Solve for x
    x = 2,861,089.37/1,948.29
  6. Step 6: Final answer
    x = 1,468.51

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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.