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Finding the Fourth Proportional to 12,307.99, 16,983.47 and 7,002.90

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Solution

The fourth proportional to 12,307.99, 16,983.47 and 7,002.90 is: 9,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.99 : 16,983.47 = 7,002.90 : x
  2. Step 2: Convert to fraction form
    12,307.99/16,983.47 = 7,002.90/x
  3. Step 3: Cross multiply
    12,307.99x = 16,983.47 × 7,002.90
  4. Step 4: Simplify right side
    12,307.99x = 118,933,542.06
  5. Step 5: Solve for x
    x = 118,933,542.06/12,307.99
  6. Step 6: Final answer
    x = 9,663.12

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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.