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Finding the Fourth Proportional to 7,406.61, 10,206.99 and 5,307.09

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Solution

The fourth proportional to 7,406.61, 10,206.99 and 5,307.09 is: 7,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.61 : 10,206.99 = 5,307.09 : x
  2. Step 2: Convert to fraction form
    7,406.61/10,206.99 = 5,307.09/x
  3. Step 3: Cross multiply
    7,406.61x = 10,206.99 × 5,307.09
  4. Step 4: Simplify right side
    7,406.61x = 54,169,414.56
  5. Step 5: Solve for x
    x = 54,169,414.56/7,406.61
  6. Step 6: Final answer
    x = 7,313.66

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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.