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Finding the Fourth Proportional to 30,042.52, 45,064.40 and 9,266

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Solution

The fourth proportional to 30,042.52, 45,064.40 and 9,266 is: 13,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.52 : 45,064.40 = 9,266 : x
  2. Step 2: Convert to fraction form
    30,042.52/45,064.40 = 9,266/x
  3. Step 3: Cross multiply
    30,042.52x = 45,064.40 × 9,266
  4. Step 4: Simplify right side
    30,042.52x = 417,566,730.40
  5. Step 5: Solve for x
    x = 417,566,730.40/30,042.52
  6. Step 6: Final answer
    x = 13,899.19

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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.