Home / 19,430-29,145.12-7,746.16

Finding the Fourth Proportional to 19,430, 29,145.12 and 7,746.16

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Solution

The fourth proportional to 19,430, 29,145.12 and 7,746.16 is: 11,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430 : 29,145.12 = 7,746.16 : x
  2. Step 2: Convert to fraction form
    19,430/29,145.12 = 7,746.16/x
  3. Step 3: Cross multiply
    19,430x = 29,145.12 × 7,746.16
  4. Step 4: Simplify right side
    19,430x = 225,762,762.74
  5. Step 5: Solve for x
    x = 225,762,762.74/19,430
  6. Step 6: Final answer
    x = 11,619.29

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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.