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Finding the Fourth Proportional to 6,155, 9,232.50 and 1,538

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Solution

The fourth proportional to 6,155, 9,232.50 and 1,538 is: 2,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155 : 9,232.50 = 1,538 : x
  2. Step 2: Convert to fraction form
    6,155/9,232.50 = 1,538/x
  3. Step 3: Cross multiply
    6,155x = 9,232.50 × 1,538
  4. Step 4: Simplify right side
    6,155x = 14,199,585
  5. Step 5: Solve for x
    x = 14,199,585/6,155
  6. Step 6: Final answer
    x = 2,307

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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.