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Finding the Fourth Proportional to 9,989.04, 14,985.90 and 2,969.10

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Solution

The fourth proportional to 9,989.04, 14,985.90 and 2,969.10 is: 4,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.04 : 14,985.90 = 2,969.10 : x
  2. Step 2: Convert to fraction form
    9,989.04/14,985.90 = 2,969.10/x
  3. Step 3: Cross multiply
    9,989.04x = 14,985.90 × 2,969.10
  4. Step 4: Simplify right side
    9,989.04x = 44,494,635.69
  5. Step 5: Solve for x
    x = 44,494,635.69/9,989.04
  6. Step 6: Final answer
    x = 4,454.35

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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.