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Finding the Fourth Proportional to 12,489.60, 17,235.66 and 6,824.40

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Solution

The fourth proportional to 12,489.60, 17,235.66 and 6,824.40 is: 9,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.60 : 17,235.66 = 6,824.40 : x
  2. Step 2: Convert to fraction form
    12,489.60/17,235.66 = 6,824.40/x
  3. Step 3: Cross multiply
    12,489.60x = 17,235.66 × 6,824.40
  4. Step 4: Simplify right side
    12,489.60x = 117,623,038.10
  5. Step 5: Solve for x
    x = 117,623,038.10/12,489.60
  6. Step 6: Final answer
    x = 9,417.68

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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.