Home / 8,426-12,638.48-2,582.16

Finding the Fourth Proportional to 8,426, 12,638.48 and 2,582.16

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Solution

The fourth proportional to 8,426, 12,638.48 and 2,582.16 is: 3,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 12,638.48 = 2,582.16 : x
  2. Step 2: Convert to fraction form
    8,426/12,638.48 = 2,582.16/x
  3. Step 3: Cross multiply
    8,426x = 12,638.48 × 2,582.16
  4. Step 4: Simplify right side
    8,426x = 32,634,577.52
  5. Step 5: Solve for x
    x = 32,634,577.52/8,426
  6. Step 6: Final answer
    x = 3,873.08

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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.