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Finding the Fourth Proportional to 9,428.76, 13,012.08 and 5,237

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Solution

The fourth proportional to 9,428.76, 13,012.08 and 5,237 is: 7,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.76 : 13,012.08 = 5,237 : x
  2. Step 2: Convert to fraction form
    9,428.76/13,012.08 = 5,237/x
  3. Step 3: Cross multiply
    9,428.76x = 13,012.08 × 5,237
  4. Step 4: Simplify right side
    9,428.76x = 68,144,262.96
  5. Step 5: Solve for x
    x = 68,144,262.96/9,428.76
  6. Step 6: Final answer
    x = 7,227.28

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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.