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Finding the Fourth Proportional to 7,815, 10,784.70 and 5,827.26

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Solution

The fourth proportional to 7,815, 10,784.70 and 5,827.26 is: 8,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 10,784.70 = 5,827.26 : x
  2. Step 2: Convert to fraction form
    7,815/10,784.70 = 5,827.26/x
  3. Step 3: Cross multiply
    7,815x = 10,784.70 × 5,827.26
  4. Step 4: Simplify right side
    7,815x = 62,845,250.92
  5. Step 5: Solve for x
    x = 62,845,250.92/7,815
  6. Step 6: Final answer
    x = 8,041.62

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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.