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Finding the Fourth Proportional to 3,113.80, 4,295.14 and 1,854.01

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Solution

The fourth proportional to 3,113.80, 4,295.14 and 1,854.01 is: 2,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.80 : 4,295.14 = 1,854.01 : x
  2. Step 2: Convert to fraction form
    3,113.80/4,295.14 = 1,854.01/x
  3. Step 3: Cross multiply
    3,113.80x = 4,295.14 × 1,854.01
  4. Step 4: Simplify right side
    3,113.80x = 7,963,232.51
  5. Step 5: Solve for x
    x = 7,963,232.51/3,113.80
  6. Step 6: Final answer
    x = 2,557.40

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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.