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Finding the Fourth Proportional to 9,989.68, 14,985.36 and 3,416.32

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Solution

The fourth proportional to 9,989.68, 14,985.36 and 3,416.32 is: 5,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.68 : 14,985.36 = 3,416.32 : x
  2. Step 2: Convert to fraction form
    9,989.68/14,985.36 = 3,416.32/x
  3. Step 3: Cross multiply
    9,989.68x = 14,985.36 × 3,416.32
  4. Step 4: Simplify right side
    9,989.68x = 51,194,785.08
  5. Step 5: Solve for x
    x = 51,194,785.08/9,989.68
  6. Step 6: Final answer
    x = 5,124.77

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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.