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Finding the Fourth Proportional to 9,248, 13,875.50 and 5,552.81

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Solution

The fourth proportional to 9,248, 13,875.50 and 5,552.81 is: 8,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248 : 13,875.50 = 5,552.81 : x
  2. Step 2: Convert to fraction form
    9,248/13,875.50 = 5,552.81/x
  3. Step 3: Cross multiply
    9,248x = 13,875.50 × 5,552.81
  4. Step 4: Simplify right side
    9,248x = 77,048,015.16
  5. Step 5: Solve for x
    x = 77,048,015.16/9,248
  6. Step 6: Final answer
    x = 8,331.32

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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.