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Finding the Fourth Proportional to 2,917.19, 4,376.60 and 970.76

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Solution

The fourth proportional to 2,917.19, 4,376.60 and 970.76 is: 1,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.19 : 4,376.60 = 970.76 : x
  2. Step 2: Convert to fraction form
    2,917.19/4,376.60 = 970.76/x
  3. Step 3: Cross multiply
    2,917.19x = 4,376.60 × 970.76
  4. Step 4: Simplify right side
    2,917.19x = 4,248,628.22
  5. Step 5: Solve for x
    x = 4,248,628.22/2,917.19
  6. Step 6: Final answer
    x = 1,456.41

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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.