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Finding the Fourth Proportional to 9,952, 14,929.92 and 4,480

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Solution

The fourth proportional to 9,952, 14,929.92 and 4,480 is: 6,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952 : 14,929.92 = 4,480 : x
  2. Step 2: Convert to fraction form
    9,952/14,929.92 = 4,480/x
  3. Step 3: Cross multiply
    9,952x = 14,929.92 × 4,480
  4. Step 4: Simplify right side
    9,952x = 66,886,041.60
  5. Step 5: Solve for x
    x = 66,886,041.60/9,952
  6. Step 6: Final answer
    x = 6,720.86

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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.