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Finding the Fourth Proportional to 10,671.02, 15,985.10 and 5,318.06

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Solution

The fourth proportional to 10,671.02, 15,985.10 and 5,318.06 is: 7,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.02 : 15,985.10 = 5,318.06 : x
  2. Step 2: Convert to fraction form
    10,671.02/15,985.10 = 5,318.06/x
  3. Step 3: Cross multiply
    10,671.02x = 15,985.10 × 5,318.06
  4. Step 4: Simplify right side
    10,671.02x = 85,009,720.91
  5. Step 5: Solve for x
    x = 85,009,720.91/10,671.02
  6. Step 6: Final answer
    x = 7,966.41

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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.