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Finding the Fourth Proportional to 7,136.16, 9,848 and 4,340

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Solution

The fourth proportional to 7,136.16, 9,848 and 4,340 is: 5,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.16 : 9,848 = 4,340 : x
  2. Step 2: Convert to fraction form
    7,136.16/9,848 = 4,340/x
  3. Step 3: Cross multiply
    7,136.16x = 9,848 × 4,340
  4. Step 4: Simplify right side
    7,136.16x = 42,740,320
  5. Step 5: Solve for x
    x = 42,740,320/7,136.16
  6. Step 6: Final answer
    x = 5,989.26

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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.