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Finding the Fourth Proportional to 10,509.66, 15,756.18 and 7,212.96

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Solution

The fourth proportional to 10,509.66, 15,756.18 and 7,212.96 is: 10,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.66 : 15,756.18 = 7,212.96 : x
  2. Step 2: Convert to fraction form
    10,509.66/15,756.18 = 7,212.96/x
  3. Step 3: Cross multiply
    10,509.66x = 15,756.18 × 7,212.96
  4. Step 4: Simplify right side
    10,509.66x = 113,648,696.09
  5. Step 5: Solve for x
    x = 113,648,696.09/10,509.66
  6. Step 6: Final answer
    x = 10,813.74

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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.