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Finding the Fourth Proportional to 15,918, 23,885.76 and 7,710

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Solution

The fourth proportional to 15,918, 23,885.76 and 7,710 is: 11,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918 : 23,885.76 = 7,710 : x
  2. Step 2: Convert to fraction form
    15,918/23,885.76 = 7,710/x
  3. Step 3: Cross multiply
    15,918x = 23,885.76 × 7,710
  4. Step 4: Simplify right side
    15,918x = 184,159,209.60
  5. Step 5: Solve for x
    x = 184,159,209.60/15,918
  6. Step 6: Final answer
    x = 11,569.24

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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.