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Finding the Fourth Proportional to 2,871.63, 4,307.46 and 1,140.26

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Solution

The fourth proportional to 2,871.63, 4,307.46 and 1,140.26 is: 1,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.63 : 4,307.46 = 1,140.26 : x
  2. Step 2: Convert to fraction form
    2,871.63/4,307.46 = 1,140.26/x
  3. Step 3: Cross multiply
    2,871.63x = 4,307.46 × 1,140.26
  4. Step 4: Simplify right side
    2,871.63x = 4,911,602.80
  5. Step 5: Solve for x
    x = 4,911,602.80/2,871.63
  6. Step 6: Final answer
    x = 1,710.39

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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.