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Finding the Fourth Proportional to 1,973.12, 2,959.61 and 877.19

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Solution

The fourth proportional to 1,973.12, 2,959.61 and 877.19 is: 1,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.12 : 2,959.61 = 877.19 : x
  2. Step 2: Convert to fraction form
    1,973.12/2,959.61 = 877.19/x
  3. Step 3: Cross multiply
    1,973.12x = 2,959.61 × 877.19
  4. Step 4: Simplify right side
    1,973.12x = 2,596,121.11
  5. Step 5: Solve for x
    x = 2,596,121.11/1,973.12
  6. Step 6: Final answer
    x = 1,315.75

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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.