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Finding the Fourth Proportional to 9,720, 14,575.14 and 3,875.04

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Solution

The fourth proportional to 9,720, 14,575.14 and 3,875.04 is: 5,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,575.14 = 3,875.04 : x
  2. Step 2: Convert to fraction form
    9,720/14,575.14 = 3,875.04/x
  3. Step 3: Cross multiply
    9,720x = 14,575.14 × 3,875.04
  4. Step 4: Simplify right side
    9,720x = 56,479,250.51
  5. Step 5: Solve for x
    x = 56,479,250.51/9,720
  6. Step 6: Final answer
    x = 5,810.62

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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.