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Finding the Fourth Proportional to 30,657.18, 45,978.48 and 8,470.07

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Solution

The fourth proportional to 30,657.18, 45,978.48 and 8,470.07 is: 12,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.18 : 45,978.48 = 8,470.07 : x
  2. Step 2: Convert to fraction form
    30,657.18/45,978.48 = 8,470.07/x
  3. Step 3: Cross multiply
    30,657.18x = 45,978.48 × 8,470.07
  4. Step 4: Simplify right side
    30,657.18x = 389,440,714.20
  5. Step 5: Solve for x
    x = 389,440,714.20/30,657.18
  6. Step 6: Final answer
    x = 12,703.08

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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.