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Finding the Fourth Proportional to 10,368.12, 15,540 and 4,809.76

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Solution

The fourth proportional to 10,368.12, 15,540 and 4,809.76 is: 7,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.12 : 15,540 = 4,809.76 : x
  2. Step 2: Convert to fraction form
    10,368.12/15,540 = 4,809.76/x
  3. Step 3: Cross multiply
    10,368.12x = 15,540 × 4,809.76
  4. Step 4: Simplify right side
    10,368.12x = 74,743,670.40
  5. Step 5: Solve for x
    x = 74,743,670.40/10,368.12
  6. Step 6: Final answer
    x = 7,208.99

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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.