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Finding the Fourth Proportional to 10,688.70, 16,041.15 and 6,989.70

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Solution

The fourth proportional to 10,688.70, 16,041.15 and 6,989.70 is: 10,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.70 : 16,041.15 = 6,989.70 : x
  2. Step 2: Convert to fraction form
    10,688.70/16,041.15 = 6,989.70/x
  3. Step 3: Cross multiply
    10,688.70x = 16,041.15 × 6,989.70
  4. Step 4: Simplify right side
    10,688.70x = 112,122,826.16
  5. Step 5: Solve for x
    x = 112,122,826.16/10,688.70
  6. Step 6: Final answer
    x = 10,489.85

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1.5x scale

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.