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Finding the Fourth Proportional to 2,618.92, 3,925.95 and 975.07

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Solution

The fourth proportional to 2,618.92, 3,925.95 and 975.07 is: 1,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.92 : 3,925.95 = 975.07 : x
  2. Step 2: Convert to fraction form
    2,618.92/3,925.95 = 975.07/x
  3. Step 3: Cross multiply
    2,618.92x = 3,925.95 × 975.07
  4. Step 4: Simplify right side
    2,618.92x = 3,828,076.07
  5. Step 5: Solve for x
    x = 3,828,076.07/2,618.92
  6. Step 6: Final answer
    x = 1,461.70

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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.