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Finding the Fourth Proportional to 10,978.38, 15,153.21 and 6,503.67

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Solution

The fourth proportional to 10,978.38, 15,153.21 and 6,503.67 is: 8,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.38 : 15,153.21 = 6,503.67 : x
  2. Step 2: Convert to fraction form
    10,978.38/15,153.21 = 6,503.67/x
  3. Step 3: Cross multiply
    10,978.38x = 15,153.21 × 6,503.67
  4. Step 4: Simplify right side
    10,978.38x = 98,551,477.28
  5. Step 5: Solve for x
    x = 98,551,477.28/10,978.38
  6. Step 6: Final answer
    x = 8,976.87

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1.5x scale

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.