Home / 16,284-24,412.40-6,931.36

Finding the Fourth Proportional to 16,284, 24,412.40 and 6,931.36

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Solution

The fourth proportional to 16,284, 24,412.40 and 6,931.36 is: 10,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 24,412.40 = 6,931.36 : x
  2. Step 2: Convert to fraction form
    16,284/24,412.40 = 6,931.36/x
  3. Step 3: Cross multiply
    16,284x = 24,412.40 × 6,931.36
  4. Step 4: Simplify right side
    16,284x = 169,211,132.86
  5. Step 5: Solve for x
    x = 169,211,132.86/16,284
  6. Step 6: Final answer
    x = 10,391.25

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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.