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Finding the Fourth Proportional to 2,352, 3,527.86 and 708.52

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Solution

The fourth proportional to 2,352, 3,527.86 and 708.52 is: 1,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352 : 3,527.86 = 708.52 : x
  2. Step 2: Convert to fraction form
    2,352/3,527.86 = 708.52/x
  3. Step 3: Cross multiply
    2,352x = 3,527.86 × 708.52
  4. Step 4: Simplify right side
    2,352x = 2,499,559.37
  5. Step 5: Solve for x
    x = 2,499,559.37/2,352
  6. Step 6: Final answer
    x = 1,062.74

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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.