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Finding the Fourth Proportional to 1,953.80, 2,931.48 and 980.16

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Solution

The fourth proportional to 1,953.80, 2,931.48 and 980.16 is: 1,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.80 : 2,931.48 = 980.16 : x
  2. Step 2: Convert to fraction form
    1,953.80/2,931.48 = 980.16/x
  3. Step 3: Cross multiply
    1,953.80x = 2,931.48 × 980.16
  4. Step 4: Simplify right side
    1,953.80x = 2,873,319.44
  5. Step 5: Solve for x
    x = 2,873,319.44/1,953.80
  6. Step 6: Final answer
    x = 1,470.63

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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.