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Finding the Fourth Proportional to 15,908, 23,870.68 and 7,700

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Solution

The fourth proportional to 15,908, 23,870.68 and 7,700 is: 11,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908 : 23,870.68 = 7,700 : x
  2. Step 2: Convert to fraction form
    15,908/23,870.68 = 7,700/x
  3. Step 3: Cross multiply
    15,908x = 23,870.68 × 7,700
  4. Step 4: Simplify right side
    15,908x = 183,804,236
  5. Step 5: Solve for x
    x = 183,804,236/15,908
  6. Step 6: Final answer
    x = 11,554.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.