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Finding the Fourth Proportional to 7,570, 10,447.95 and 7,237.90

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Solution

The fourth proportional to 7,570, 10,447.95 and 7,237.90 is: 9,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 10,447.95 = 7,237.90 : x
  2. Step 2: Convert to fraction form
    7,570/10,447.95 = 7,237.90/x
  3. Step 3: Cross multiply
    7,570x = 10,447.95 × 7,237.90
  4. Step 4: Simplify right side
    7,570x = 75,621,217.31
  5. Step 5: Solve for x
    x = 75,621,217.31/7,570
  6. Step 6: Final answer
    x = 9,989.59

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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.