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Finding the Fourth Proportional to 9,887.87, 13,660.08 and 6,492.93

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Solution

The fourth proportional to 9,887.87, 13,660.08 and 6,492.93 is: 8,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.87 : 13,660.08 = 6,492.93 : x
  2. Step 2: Convert to fraction form
    9,887.87/13,660.08 = 6,492.93/x
  3. Step 3: Cross multiply
    9,887.87x = 13,660.08 × 6,492.93
  4. Step 4: Simplify right side
    9,887.87x = 88,693,943.23
  5. Step 5: Solve for x
    x = 88,693,943.23/9,887.87
  6. Step 6: Final answer
    x = 8,969.98

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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.