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Finding the Fourth Proportional to 9,957.12, 14,937.30 and 3,030

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Solution

The fourth proportional to 9,957.12, 14,937.30 and 3,030 is: 4,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.12 : 14,937.30 = 3,030 : x
  2. Step 2: Convert to fraction form
    9,957.12/14,937.30 = 3,030/x
  3. Step 3: Cross multiply
    9,957.12x = 14,937.30 × 3,030
  4. Step 4: Simplify right side
    9,957.12x = 45,260,019
  5. Step 5: Solve for x
    x = 45,260,019/9,957.12
  6. Step 6: Final answer
    x = 4,545.49

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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.