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Finding the Fourth Proportional to 7,646.31, 10,537.62 and 5,965.05

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Solution

The fourth proportional to 7,646.31, 10,537.62 and 5,965.05 is: 8,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.31 : 10,537.62 = 5,965.05 : x
  2. Step 2: Convert to fraction form
    7,646.31/10,537.62 = 5,965.05/x
  3. Step 3: Cross multiply
    7,646.31x = 10,537.62 × 5,965.05
  4. Step 4: Simplify right side
    7,646.31x = 62,857,430.18
  5. Step 5: Solve for x
    x = 62,857,430.18/7,646.31
  6. Step 6: Final answer
    x = 8,220.62

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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.