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Finding the Fourth Proportional to 1,369.66, 2,054.22 and 876.10

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Solution

The fourth proportional to 1,369.66, 2,054.22 and 876.10 is: 1,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.66 : 2,054.22 = 876.10 : x
  2. Step 2: Convert to fraction form
    1,369.66/2,054.22 = 876.10/x
  3. Step 3: Cross multiply
    1,369.66x = 2,054.22 × 876.10
  4. Step 4: Simplify right side
    1,369.66x = 1,799,702.14
  5. Step 5: Solve for x
    x = 1,799,702.14/1,369.66
  6. Step 6: Final answer
    x = 1,313.98

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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.