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Finding the Fourth Proportional to 10,620, 14,653.55 and 6,842.36

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Solution

The fourth proportional to 10,620, 14,653.55 and 6,842.36 is: 9,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620 : 14,653.55 = 6,842.36 : x
  2. Step 2: Convert to fraction form
    10,620/14,653.55 = 6,842.36/x
  3. Step 3: Cross multiply
    10,620x = 14,653.55 × 6,842.36
  4. Step 4: Simplify right side
    10,620x = 100,264,756.90
  5. Step 5: Solve for x
    x = 100,264,756.90/10,620
  6. Step 6: Final answer
    x = 9,441.13

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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.