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Finding the Fourth Proportional to 10,574.96, 15,857.80 and 5,643.48

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Solution

The fourth proportional to 10,574.96, 15,857.80 and 5,643.48 is: 8,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.96 : 15,857.80 = 5,643.48 : x
  2. Step 2: Convert to fraction form
    10,574.96/15,857.80 = 5,643.48/x
  3. Step 3: Cross multiply
    10,574.96x = 15,857.80 × 5,643.48
  4. Step 4: Simplify right side
    10,574.96x = 89,493,177.14
  5. Step 5: Solve for x
    x = 89,493,177.14/10,574.96
  6. Step 6: Final answer
    x = 8,462.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.