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Finding the Fourth Proportional to 2,323.13, 3,484.69 and 784.13

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Solution

The fourth proportional to 2,323.13, 3,484.69 and 784.13 is: 1,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.13 : 3,484.69 = 784.13 : x
  2. Step 2: Convert to fraction form
    2,323.13/3,484.69 = 784.13/x
  3. Step 3: Cross multiply
    2,323.13x = 3,484.69 × 784.13
  4. Step 4: Simplify right side
    2,323.13x = 2,732,430.59
  5. Step 5: Solve for x
    x = 2,732,430.59/2,323.13
  6. Step 6: Final answer
    x = 1,176.19

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Double scale
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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.