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Finding the Fourth Proportional to 2,655.68, 3,984.08 and 924.24

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Solution

The fourth proportional to 2,655.68, 3,984.08 and 924.24 is: 1,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.68 : 3,984.08 = 924.24 : x
  2. Step 2: Convert to fraction form
    2,655.68/3,984.08 = 924.24/x
  3. Step 3: Cross multiply
    2,655.68x = 3,984.08 × 924.24
  4. Step 4: Simplify right side
    2,655.68x = 3,682,246.10
  5. Step 5: Solve for x
    x = 3,682,246.10/2,655.68
  6. Step 6: Final answer
    x = 1,386.55

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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.