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Finding the Fourth Proportional to 7,719.50, 10,653.11 and 4,693.61

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Solution

The fourth proportional to 7,719.50, 10,653.11 and 4,693.61 is: 6,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.50 : 10,653.11 = 4,693.61 : x
  2. Step 2: Convert to fraction form
    7,719.50/10,653.11 = 4,693.61/x
  3. Step 3: Cross multiply
    7,719.50x = 10,653.11 × 4,693.61
  4. Step 4: Simplify right side
    7,719.50x = 50,001,543.63
  5. Step 5: Solve for x
    x = 50,001,543.63/7,719.50
  6. Step 6: Final answer
    x = 6,477.30

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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.