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Finding the Fourth Proportional to 4,761, 7,141.95 and 1,298.25

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Solution

The fourth proportional to 4,761, 7,141.95 and 1,298.25 is: 1,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 7,141.95 = 1,298.25 : x
  2. Step 2: Convert to fraction form
    4,761/7,141.95 = 1,298.25/x
  3. Step 3: Cross multiply
    4,761x = 7,141.95 × 1,298.25
  4. Step 4: Simplify right side
    4,761x = 9,272,036.59
  5. Step 5: Solve for x
    x = 9,272,036.59/4,761
  6. Step 6: Final answer
    x = 1,947.50

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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.