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Finding the Fourth Proportional to 5,236, 7,219.28 and 4,113.44

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Solution

The fourth proportional to 5,236, 7,219.28 and 4,113.44 is: 5,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236 : 7,219.28 = 4,113.44 : x
  2. Step 2: Convert to fraction form
    5,236/7,219.28 = 4,113.44/x
  3. Step 3: Cross multiply
    5,236x = 7,219.28 × 4,113.44
  4. Step 4: Simplify right side
    5,236x = 29,696,075.12
  5. Step 5: Solve for x
    x = 29,696,075.12/5,236
  6. Step 6: Final answer
    x = 5,671.52

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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.