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Finding the Fourth Proportional to 10,894.08, 15,037 and 7,117.80

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Solution

The fourth proportional to 10,894.08, 15,037 and 7,117.80 is: 9,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.08 : 15,037 = 7,117.80 : x
  2. Step 2: Convert to fraction form
    10,894.08/15,037 = 7,117.80/x
  3. Step 3: Cross multiply
    10,894.08x = 15,037 × 7,117.80
  4. Step 4: Simplify right side
    10,894.08x = 107,030,358.60
  5. Step 5: Solve for x
    x = 107,030,358.60/10,894.08
  6. Step 6: Final answer
    x = 9,824.63

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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.