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Finding the Fourth Proportional to 9,720, 14,577.58 and 4,172.72

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Solution

The fourth proportional to 9,720, 14,577.58 and 4,172.72 is: 6,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,577.58 = 4,172.72 : x
  2. Step 2: Convert to fraction form
    9,720/14,577.58 = 4,172.72/x
  3. Step 3: Cross multiply
    9,720x = 14,577.58 × 4,172.72
  4. Step 4: Simplify right side
    9,720x = 60,828,159.62
  5. Step 5: Solve for x
    x = 60,828,159.62/9,720
  6. Step 6: Final answer
    x = 6,258.04

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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.