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Finding the Fourth Proportional to 15,391, 23,089.74 and 6,157

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Solution

The fourth proportional to 15,391, 23,089.74 and 6,157 is: 9,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,391 : 23,089.74 = 6,157 : x
  2. Step 2: Convert to fraction form
    15,391/23,089.74 = 6,157/x
  3. Step 3: Cross multiply
    15,391x = 23,089.74 × 6,157
  4. Step 4: Simplify right side
    15,391x = 142,163,529.18
  5. Step 5: Solve for x
    x = 142,163,529.18/15,391
  6. Step 6: Final answer
    x = 9,236.80

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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.