Home / 1,534.32-2,117.40-945.24

Finding the Fourth Proportional to 1,534.32, 2,117.40 and 945.24

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Solution

The fourth proportional to 1,534.32, 2,117.40 and 945.24 is: 1,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.32 : 2,117.40 = 945.24 : x
  2. Step 2: Convert to fraction form
    1,534.32/2,117.40 = 945.24/x
  3. Step 3: Cross multiply
    1,534.32x = 2,117.40 × 945.24
  4. Step 4: Simplify right side
    1,534.32x = 2,001,451.18
  5. Step 5: Solve for x
    x = 2,001,451.18/1,534.32
  6. Step 6: Final answer
    x = 1,304.45

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Half scale
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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.