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Finding the Fourth Proportional to 1,235.13, 1,853.10 and 975.26

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Solution

The fourth proportional to 1,235.13, 1,853.10 and 975.26 is: 1,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.13 : 1,853.10 = 975.26 : x
  2. Step 2: Convert to fraction form
    1,235.13/1,853.10 = 975.26/x
  3. Step 3: Cross multiply
    1,235.13x = 1,853.10 × 975.26
  4. Step 4: Simplify right side
    1,235.13x = 1,807,254.31
  5. Step 5: Solve for x
    x = 1,807,254.31/1,235.13
  6. Step 6: Final answer
    x = 1,463.21

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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.