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Finding the Fourth Proportional to 6,458, 9,688.44 and 2,354

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Solution

The fourth proportional to 6,458, 9,688.44 and 2,354 is: 3,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 9,688.44 = 2,354 : x
  2. Step 2: Convert to fraction form
    6,458/9,688.44 = 2,354/x
  3. Step 3: Cross multiply
    6,458x = 9,688.44 × 2,354
  4. Step 4: Simplify right side
    6,458x = 22,806,587.76
  5. Step 5: Solve for x
    x = 22,806,587.76/6,458
  6. Step 6: Final answer
    x = 3,531.52

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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.