Home / 7,842.90-10,823.14-4,257.78

Finding the Fourth Proportional to 7,842.90, 10,823.14 and 4,257.78

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Solution

The fourth proportional to 7,842.90, 10,823.14 and 4,257.78 is: 5,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.90 : 10,823.14 = 4,257.78 : x
  2. Step 2: Convert to fraction form
    7,842.90/10,823.14 = 4,257.78/x
  3. Step 3: Cross multiply
    7,842.90x = 10,823.14 × 4,257.78
  4. Step 4: Simplify right side
    7,842.90x = 46,082,549.03
  5. Step 5: Solve for x
    x = 46,082,549.03/7,842.90
  6. Step 6: Final answer
    x = 5,875.70

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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.