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Finding the Fourth Proportional to 10,492.68, 14,480.12 and 5,777

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Solution

The fourth proportional to 10,492.68, 14,480.12 and 5,777 is: 7,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.68 : 14,480.12 = 5,777 : x
  2. Step 2: Convert to fraction form
    10,492.68/14,480.12 = 5,777/x
  3. Step 3: Cross multiply
    10,492.68x = 14,480.12 × 5,777
  4. Step 4: Simplify right side
    10,492.68x = 83,651,653.24
  5. Step 5: Solve for x
    x = 83,651,653.24/10,492.68
  6. Step 6: Final answer
    x = 7,972.38

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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.