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Finding the Fourth Proportional to 7,842.79, 10,822.40 and 4,306.00

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Solution

The fourth proportional to 7,842.79, 10,822.40 and 4,306.00 is: 5,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.79 : 10,822.40 = 4,306.00 : x
  2. Step 2: Convert to fraction form
    7,842.79/10,822.40 = 4,306.00/x
  3. Step 3: Cross multiply
    7,842.79x = 10,822.40 × 4,306.00
  4. Step 4: Simplify right side
    7,842.79x = 46,601,248.23
  5. Step 5: Solve for x
    x = 46,601,248.23/7,842.79
  6. Step 6: Final answer
    x = 5,941.92

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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.