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Finding the Fourth Proportional to 7,509.80, 11,264.70 and 7,400.45

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Solution

The fourth proportional to 7,509.80, 11,264.70 and 7,400.45 is: 11,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.80 : 11,264.70 = 7,400.45 : x
  2. Step 2: Convert to fraction form
    7,509.80/11,264.70 = 7,400.45/x
  3. Step 3: Cross multiply
    7,509.80x = 11,264.70 × 7,400.45
  4. Step 4: Simplify right side
    7,509.80x = 83,363,849.12
  5. Step 5: Solve for x
    x = 83,363,849.12/7,509.80
  6. Step 6: Final answer
    x = 11,100.68

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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.