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Finding the Fourth Proportional to 30,657.04, 45,978.54 and 10,935.16

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Solution

The fourth proportional to 30,657.04, 45,978.54 and 10,935.16 is: 16,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.04 : 45,978.54 = 10,935.16 : x
  2. Step 2: Convert to fraction form
    30,657.04/45,978.54 = 10,935.16/x
  3. Step 3: Cross multiply
    30,657.04x = 45,978.54 × 10,935.16
  4. Step 4: Simplify right side
    30,657.04x = 502,782,691.47
  5. Step 5: Solve for x
    x = 502,782,691.47/30,657.04
  6. Step 6: Final answer
    x = 16,400.24

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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.