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Finding the Fourth Proportional to 10,700.30, 14,771.14 and 6,394.91

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Solution

The fourth proportional to 10,700.30, 14,771.14 and 6,394.91 is: 8,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.30 : 14,771.14 = 6,394.91 : x
  2. Step 2: Convert to fraction form
    10,700.30/14,771.14 = 6,394.91/x
  3. Step 3: Cross multiply
    10,700.30x = 14,771.14 × 6,394.91
  4. Step 4: Simplify right side
    10,700.30x = 94,460,005.07
  5. Step 5: Solve for x
    x = 94,460,005.07/10,700.30
  6. Step 6: Final answer
    x = 8,827.79

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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.