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Finding the Fourth Proportional to 1,857.42, 2,560.28 and 1,266.93

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Solution

The fourth proportional to 1,857.42, 2,560.28 and 1,266.93 is: 1,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.42 : 2,560.28 = 1,266.93 : x
  2. Step 2: Convert to fraction form
    1,857.42/2,560.28 = 1,266.93/x
  3. Step 3: Cross multiply
    1,857.42x = 2,560.28 × 1,266.93
  4. Step 4: Simplify right side
    1,857.42x = 3,243,689.21
  5. Step 5: Solve for x
    x = 3,243,689.21/1,857.42
  6. Step 6: Final answer
    x = 1,746.34

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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.