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Finding the Fourth Proportional to 13,297.80, 19,931.13 and 8,547.90

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Solution

The fourth proportional to 13,297.80, 19,931.13 and 8,547.90 is: 12,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.80 : 19,931.13 = 8,547.90 : x
  2. Step 2: Convert to fraction form
    13,297.80/19,931.13 = 8,547.90/x
  3. Step 3: Cross multiply
    13,297.80x = 19,931.13 × 8,547.90
  4. Step 4: Simplify right side
    13,297.80x = 170,369,306.13
  5. Step 5: Solve for x
    x = 170,369,306.13/13,297.80
  6. Step 6: Final answer
    x = 12,811.84

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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.