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Finding the Fourth Proportional to 9,639, 13,303.64 and 5,447.25

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Solution

The fourth proportional to 9,639, 13,303.64 and 5,447.25 is: 7,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 13,303.64 = 5,447.25 : x
  2. Step 2: Convert to fraction form
    9,639/13,303.64 = 5,447.25/x
  3. Step 3: Cross multiply
    9,639x = 13,303.64 × 5,447.25
  4. Step 4: Simplify right side
    9,639x = 72,468,266.61
  5. Step 5: Solve for x
    x = 72,468,266.61/9,639
  6. Step 6: Final answer
    x = 7,518.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.