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Finding the Fourth Proportional to 10,782.68, 14,878.50 and 6,066.68

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Solution

The fourth proportional to 10,782.68, 14,878.50 and 6,066.68 is: 8,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.68 : 14,878.50 = 6,066.68 : x
  2. Step 2: Convert to fraction form
    10,782.68/14,878.50 = 6,066.68/x
  3. Step 3: Cross multiply
    10,782.68x = 14,878.50 × 6,066.68
  4. Step 4: Simplify right side
    10,782.68x = 90,263,098.38
  5. Step 5: Solve for x
    x = 90,263,098.38/10,782.68
  6. Step 6: Final answer
    x = 8,371.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.