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Finding the Fourth Proportional to 7,065.66, 9,749.50 and 4,040.25

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Solution

The fourth proportional to 7,065.66, 9,749.50 and 4,040.25 is: 5,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.66 : 9,749.50 = 4,040.25 : x
  2. Step 2: Convert to fraction form
    7,065.66/9,749.50 = 4,040.25/x
  3. Step 3: Cross multiply
    7,065.66x = 9,749.50 × 4,040.25
  4. Step 4: Simplify right side
    7,065.66x = 39,390,417.38
  5. Step 5: Solve for x
    x = 39,390,417.38/7,065.66
  6. Step 6: Final answer
    x = 5,574.91

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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.