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Finding the Fourth Proportional to 8,579, 12,869.52 and 3,031.20

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Solution

The fourth proportional to 8,579, 12,869.52 and 3,031.20 is: 4,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579 : 12,869.52 = 3,031.20 : x
  2. Step 2: Convert to fraction form
    8,579/12,869.52 = 3,031.20/x
  3. Step 3: Cross multiply
    8,579x = 12,869.52 × 3,031.20
  4. Step 4: Simplify right side
    8,579x = 39,010,089.02
  5. Step 5: Solve for x
    x = 39,010,089.02/8,579
  6. Step 6: Final answer
    x = 4,547.16

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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.