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Finding the Fourth Proportional to 1,534.61, 2,118.54 and 945.48

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Solution

The fourth proportional to 1,534.61, 2,118.54 and 945.48 is: 1,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.61 : 2,118.54 = 945.48 : x
  2. Step 2: Convert to fraction form
    1,534.61/2,118.54 = 945.48/x
  3. Step 3: Cross multiply
    1,534.61x = 2,118.54 × 945.48
  4. Step 4: Simplify right side
    1,534.61x = 2,003,037.20
  5. Step 5: Solve for x
    x = 2,003,037.20/1,534.61
  6. Step 6: Final answer
    x = 1,305.25

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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.