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Finding the Fourth Proportional to 14,970.34, 20,658 and 9,313.30

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Solution

The fourth proportional to 14,970.34, 20,658 and 9,313.30 is: 12,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.34 : 20,658 = 9,313.30 : x
  2. Step 2: Convert to fraction form
    14,970.34/20,658 = 9,313.30/x
  3. Step 3: Cross multiply
    14,970.34x = 20,658 × 9,313.30
  4. Step 4: Simplify right side
    14,970.34x = 192,394,151.40
  5. Step 5: Solve for x
    x = 192,394,151.40/14,970.34
  6. Step 6: Final answer
    x = 12,851.69

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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.