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Finding the Fourth Proportional to 15,871, 23,809.88 and 4,776.76

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Solution

The fourth proportional to 15,871, 23,809.88 and 4,776.76 is: 7,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871 : 23,809.88 = 4,776.76 : x
  2. Step 2: Convert to fraction form
    15,871/23,809.88 = 4,776.76/x
  3. Step 3: Cross multiply
    15,871x = 23,809.88 × 4,776.76
  4. Step 4: Simplify right side
    15,871x = 113,734,082.39
  5. Step 5: Solve for x
    x = 113,734,082.39/15,871
  6. Step 6: Final answer
    x = 7,166.16

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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.