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Finding the Fourth Proportional to 10,145, 14,000.40 and 5,668.94

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Solution

The fourth proportional to 10,145, 14,000.40 and 5,668.94 is: 7,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145 : 14,000.40 = 5,668.94 : x
  2. Step 2: Convert to fraction form
    10,145/14,000.40 = 5,668.94/x
  3. Step 3: Cross multiply
    10,145x = 14,000.40 × 5,668.94
  4. Step 4: Simplify right side
    10,145x = 79,367,427.58
  5. Step 5: Solve for x
    x = 79,367,427.58/10,145
  6. Step 6: Final answer
    x = 7,823.30

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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.