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Finding the Fourth Proportional to 2,688.51, 3,710.27 and 1,509.66

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Solution

The fourth proportional to 2,688.51, 3,710.27 and 1,509.66 is: 2,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.51 : 3,710.27 = 1,509.66 : x
  2. Step 2: Convert to fraction form
    2,688.51/3,710.27 = 1,509.66/x
  3. Step 3: Cross multiply
    2,688.51x = 3,710.27 × 1,509.66
  4. Step 4: Simplify right side
    2,688.51x = 5,601,246.21
  5. Step 5: Solve for x
    x = 5,601,246.21/2,688.51
  6. Step 6: Final answer
    x = 2,083.40

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1.5x scale

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.