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Finding the Fourth Proportional to 9,776, 13,490.88 and 5,360

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Solution

The fourth proportional to 9,776, 13,490.88 and 5,360 is: 7,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776 : 13,490.88 = 5,360 : x
  2. Step 2: Convert to fraction form
    9,776/13,490.88 = 5,360/x
  3. Step 3: Cross multiply
    9,776x = 13,490.88 × 5,360
  4. Step 4: Simplify right side
    9,776x = 72,311,116.80
  5. Step 5: Solve for x
    x = 72,311,116.80/9,776
  6. Step 6: Final answer
    x = 7,396.80

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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.