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Finding the Fourth Proportional to 35,115, 52,681.68 and 10,491

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Solution

The fourth proportional to 35,115, 52,681.68 and 10,491 is: 15,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,115 : 52,681.68 = 10,491 : x
  2. Step 2: Convert to fraction form
    35,115/52,681.68 = 10,491/x
  3. Step 3: Cross multiply
    35,115x = 52,681.68 × 10,491
  4. Step 4: Simplify right side
    35,115x = 552,683,504.88
  5. Step 5: Solve for x
    x = 552,683,504.88/35,115
  6. Step 6: Final answer
    x = 15,739.24

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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.