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Finding the Fourth Proportional to 8,560, 11,812.80 and 4,834

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Solution

The fourth proportional to 8,560, 11,812.80 and 4,834 is: 6,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560 : 11,812.80 = 4,834 : x
  2. Step 2: Convert to fraction form
    8,560/11,812.80 = 4,834/x
  3. Step 3: Cross multiply
    8,560x = 11,812.80 × 4,834
  4. Step 4: Simplify right side
    8,560x = 57,103,075.20
  5. Step 5: Solve for x
    x = 57,103,075.20/8,560
  6. Step 6: Final answer
    x = 6,670.92

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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.