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Finding the Fourth Proportional to 2,688.39, 4,032.68 and 740.74

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Solution

The fourth proportional to 2,688.39, 4,032.68 and 740.74 is: 1,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.39 : 4,032.68 = 740.74 : x
  2. Step 2: Convert to fraction form
    2,688.39/4,032.68 = 740.74/x
  3. Step 3: Cross multiply
    2,688.39x = 4,032.68 × 740.74
  4. Step 4: Simplify right side
    2,688.39x = 2,987,167.38
  5. Step 5: Solve for x
    x = 2,987,167.38/2,688.39
  6. Step 6: Final answer
    x = 1,111.14

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1.5x scale

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.