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Finding the Fourth Proportional to 2,307.71, 3,184.63 and 1,259.77

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Solution

The fourth proportional to 2,307.71, 3,184.63 and 1,259.77 is: 1,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.71 : 3,184.63 = 1,259.77 : x
  2. Step 2: Convert to fraction form
    2,307.71/3,184.63 = 1,259.77/x
  3. Step 3: Cross multiply
    2,307.71x = 3,184.63 × 1,259.77
  4. Step 4: Simplify right side
    2,307.71x = 4,011,915.22
  5. Step 5: Solve for x
    x = 4,011,915.22/2,307.71
  6. Step 6: Final answer
    x = 1,738.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.