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Finding the Fourth Proportional to 30,477.13, 45,698.93 and 9,411.36

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Solution

The fourth proportional to 30,477.13, 45,698.93 and 9,411.36 is: 14,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.13 : 45,698.93 = 9,411.36 : x
  2. Step 2: Convert to fraction form
    30,477.13/45,698.93 = 9,411.36/x
  3. Step 3: Cross multiply
    30,477.13x = 45,698.93 × 9,411.36
  4. Step 4: Simplify right side
    30,477.13x = 430,088,951.65
  5. Step 5: Solve for x
    x = 430,088,951.65/30,477.13
  6. Step 6: Final answer
    x = 14,111.86

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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.