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Finding the Fourth Proportional to 9,980.68, 14,967.28 and 3,315.92

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Solution

The fourth proportional to 9,980.68, 14,967.28 and 3,315.92 is: 4,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.68 : 14,967.28 = 3,315.92 : x
  2. Step 2: Convert to fraction form
    9,980.68/14,967.28 = 3,315.92/x
  3. Step 3: Cross multiply
    9,980.68x = 14,967.28 × 3,315.92
  4. Step 4: Simplify right side
    9,980.68x = 49,630,303.10
  5. Step 5: Solve for x
    x = 49,630,303.10/9,980.68
  6. Step 6: Final answer
    x = 4,972.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.