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Finding the Fourth Proportional to 2,919.65, 4,377.85 and 970.79

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Solution

The fourth proportional to 2,919.65, 4,377.85 and 970.79 is: 1,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.65 : 4,377.85 = 970.79 : x
  2. Step 2: Convert to fraction form
    2,919.65/4,377.85 = 970.79/x
  3. Step 3: Cross multiply
    2,919.65x = 4,377.85 × 970.79
  4. Step 4: Simplify right side
    2,919.65x = 4,249,948.69
  5. Step 5: Solve for x
    x = 4,249,948.69/2,919.65
  6. Step 6: Final answer
    x = 1,455.64

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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.