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Finding the Fourth Proportional to 10,458, 15,683.68 and 3,436.40

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Solution

The fourth proportional to 10,458, 15,683.68 and 3,436.40 is: 5,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 15,683.68 = 3,436.40 : x
  2. Step 2: Convert to fraction form
    10,458/15,683.68 = 3,436.40/x
  3. Step 3: Cross multiply
    10,458x = 15,683.68 × 3,436.40
  4. Step 4: Simplify right side
    10,458x = 53,895,302.35
  5. Step 5: Solve for x
    x = 53,895,302.35/10,458
  6. Step 6: Final answer
    x = 5,153.50

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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.