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Finding the Fourth Proportional to 1,344.98, 1,854.32 and 1,026.50

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Solution

The fourth proportional to 1,344.98, 1,854.32 and 1,026.50 is: 1,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.98 : 1,854.32 = 1,026.50 : x
  2. Step 2: Convert to fraction form
    1,344.98/1,854.32 = 1,026.50/x
  3. Step 3: Cross multiply
    1,344.98x = 1,854.32 × 1,026.50
  4. Step 4: Simplify right side
    1,344.98x = 1,903,445.08
  5. Step 5: Solve for x
    x = 1,903,445.08/1,344.98
  6. Step 6: Final answer
    x = 1,415.22

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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.