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Finding the Fourth Proportional to 7,574.40, 11,345.40 and 6,278.40

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Solution

The fourth proportional to 7,574.40, 11,345.40 and 6,278.40 is: 9,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.40 : 11,345.40 = 6,278.40 : x
  2. Step 2: Convert to fraction form
    7,574.40/11,345.40 = 6,278.40/x
  3. Step 3: Cross multiply
    7,574.40x = 11,345.40 × 6,278.40
  4. Step 4: Simplify right side
    7,574.40x = 71,230,959.36
  5. Step 5: Solve for x
    x = 71,230,959.36/7,574.40
  6. Step 6: Final answer
    x = 9,404.17

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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.