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Finding the Fourth Proportional to 15,920, 23,888.76 and 7,712

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Solution

The fourth proportional to 15,920, 23,888.76 and 7,712 is: 11,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920 : 23,888.76 = 7,712 : x
  2. Step 2: Convert to fraction form
    15,920/23,888.76 = 7,712/x
  3. Step 3: Cross multiply
    15,920x = 23,888.76 × 7,712
  4. Step 4: Simplify right side
    15,920x = 184,230,117.12
  5. Step 5: Solve for x
    x = 184,230,117.12/15,920
  6. Step 6: Final answer
    x = 11,572.24

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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.