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Finding the Fourth Proportional to 13,988, 19,303.44 and 7,700.78

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Solution

The fourth proportional to 13,988, 19,303.44 and 7,700.78 is: 10,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988 : 19,303.44 = 7,700.78 : x
  2. Step 2: Convert to fraction form
    13,988/19,303.44 = 7,700.78/x
  3. Step 3: Cross multiply
    13,988x = 19,303.44 × 7,700.78
  4. Step 4: Simplify right side
    13,988x = 148,651,544.68
  5. Step 5: Solve for x
    x = 148,651,544.68/13,988
  6. Step 6: Final answer
    x = 10,627.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.