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Finding the Fourth Proportional to 15,772, 23,658 and 6,417.10

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Solution

The fourth proportional to 15,772, 23,658 and 6,417.10 is: 9,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772 : 23,658 = 6,417.10 : x
  2. Step 2: Convert to fraction form
    15,772/23,658 = 6,417.10/x
  3. Step 3: Cross multiply
    15,772x = 23,658 × 6,417.10
  4. Step 4: Simplify right side
    15,772x = 151,815,751.80
  5. Step 5: Solve for x
    x = 151,815,751.80/15,772
  6. Step 6: Final answer
    x = 9,625.65

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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.