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Finding the Fourth Proportional to 1,864.95, 2,573.65 and 1,025.65

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Solution

The fourth proportional to 1,864.95, 2,573.65 and 1,025.65 is: 1,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.95 : 2,573.65 = 1,025.65 : x
  2. Step 2: Convert to fraction form
    1,864.95/2,573.65 = 1,025.65/x
  3. Step 3: Cross multiply
    1,864.95x = 2,573.65 × 1,025.65
  4. Step 4: Simplify right side
    1,864.95x = 2,639,646.13
  5. Step 5: Solve for x
    x = 2,639,646.13/1,864.95
  6. Step 6: Final answer
    x = 1,415.40

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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.