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Finding the Fourth Proportional to 2,917.61, 4,373.61 and 968.45

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Solution

The fourth proportional to 2,917.61, 4,373.61 and 968.45 is: 1,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.61 : 4,373.61 = 968.45 : x
  2. Step 2: Convert to fraction form
    2,917.61/4,373.61 = 968.45/x
  3. Step 3: Cross multiply
    2,917.61x = 4,373.61 × 968.45
  4. Step 4: Simplify right side
    2,917.61x = 4,235,600.74
  5. Step 5: Solve for x
    x = 4,235,600.74/2,917.61
  6. Step 6: Final answer
    x = 1,451.74

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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.