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Finding the Fourth Proportional to 9,777.62, 13,492.95 and 5,528.62

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Solution

The fourth proportional to 9,777.62, 13,492.95 and 5,528.62 is: 7,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.62 : 13,492.95 = 5,528.62 : x
  2. Step 2: Convert to fraction form
    9,777.62/13,492.95 = 5,528.62/x
  3. Step 3: Cross multiply
    9,777.62x = 13,492.95 × 5,528.62
  4. Step 4: Simplify right side
    9,777.62x = 74,597,325.76
  5. Step 5: Solve for x
    x = 74,597,325.76/9,777.62
  6. Step 6: Final answer
    x = 7,629.40

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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.