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Finding the Fourth Proportional to 2,657.16, 3,985.74 and 925.77

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Solution

The fourth proportional to 2,657.16, 3,985.74 and 925.77 is: 1,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.16 : 3,985.74 = 925.77 : x
  2. Step 2: Convert to fraction form
    2,657.16/3,985.74 = 925.77/x
  3. Step 3: Cross multiply
    2,657.16x = 3,985.74 × 925.77
  4. Step 4: Simplify right side
    2,657.16x = 3,689,878.52
  5. Step 5: Solve for x
    x = 3,689,878.52/2,657.16
  6. Step 6: Final answer
    x = 1,388.66

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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.