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Finding the Fourth Proportional to 2,387.07, 3,578.95 and 924.51

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Solution

The fourth proportional to 2,387.07, 3,578.95 and 924.51 is: 1,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.07 : 3,578.95 = 924.51 : x
  2. Step 2: Convert to fraction form
    2,387.07/3,578.95 = 924.51/x
  3. Step 3: Cross multiply
    2,387.07x = 3,578.95 × 924.51
  4. Step 4: Simplify right side
    2,387.07x = 3,308,789.64
  5. Step 5: Solve for x
    x = 3,308,789.64/2,387.07
  6. Step 6: Final answer
    x = 1,386.13

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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.