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Finding the Fourth Proportional to 1,347.12, 1,859.25 and 787.86

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Solution

The fourth proportional to 1,347.12, 1,859.25 and 787.86 is: 1,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.12 : 1,859.25 = 787.86 : x
  2. Step 2: Convert to fraction form
    1,347.12/1,859.25 = 787.86/x
  3. Step 3: Cross multiply
    1,347.12x = 1,859.25 × 787.86
  4. Step 4: Simplify right side
    1,347.12x = 1,464,828.71
  5. Step 5: Solve for x
    x = 1,464,828.71/1,347.12
  6. Step 6: Final answer
    x = 1,087.38

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Double scale
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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.