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Finding the Fourth Proportional to 10,785.77, 14,885.03 and 6,537.20

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Solution

The fourth proportional to 10,785.77, 14,885.03 and 6,537.20 is: 9,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.77 : 14,885.03 = 6,537.20 : x
  2. Step 2: Convert to fraction form
    10,785.77/14,885.03 = 6,537.20/x
  3. Step 3: Cross multiply
    10,785.77x = 14,885.03 × 6,537.20
  4. Step 4: Simplify right side
    10,785.77x = 97,306,418.12
  5. Step 5: Solve for x
    x = 97,306,418.12/10,785.77
  6. Step 6: Final answer
    x = 9,021.74

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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.