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Finding the Fourth Proportional to 30,530.95, 45,802.96 and 9,470.53

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Solution

The fourth proportional to 30,530.95, 45,802.96 and 9,470.53 is: 14,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.95 : 45,802.96 = 9,470.53 : x
  2. Step 2: Convert to fraction form
    30,530.95/45,802.96 = 9,470.53/x
  3. Step 3: Cross multiply
    30,530.95x = 45,802.96 × 9,470.53
  4. Step 4: Simplify right side
    30,530.95x = 433,778,490.37
  5. Step 5: Solve for x
    x = 433,778,490.37/30,530.95
  6. Step 6: Final answer
    x = 14,207.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.