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Finding the Fourth Proportional to 10,457.84, 15,689.48 and 3,885.92

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Solution

The fourth proportional to 10,457.84, 15,689.48 and 3,885.92 is: 5,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.84 : 15,689.48 = 3,885.92 : x
  2. Step 2: Convert to fraction form
    10,457.84/15,689.48 = 3,885.92/x
  3. Step 3: Cross multiply
    10,457.84x = 15,689.48 × 3,885.92
  4. Step 4: Simplify right side
    10,457.84x = 60,968,064.12
  5. Step 5: Solve for x
    x = 60,968,064.12/10,457.84
  6. Step 6: Final answer
    x = 5,829.89

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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.