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Finding the Fourth Proportional to 1,639.11, 2,457.06 and 907.14

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Solution

The fourth proportional to 1,639.11, 2,457.06 and 907.14 is: 1,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.11 : 2,457.06 = 907.14 : x
  2. Step 2: Convert to fraction form
    1,639.11/2,457.06 = 907.14/x
  3. Step 3: Cross multiply
    1,639.11x = 2,457.06 × 907.14
  4. Step 4: Simplify right side
    1,639.11x = 2,228,897.41
  5. Step 5: Solve for x
    x = 2,228,897.41/1,639.11
  6. Step 6: Final answer
    x = 1,359.82

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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.