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Finding the Fourth Proportional to 13,969, 19,277.76 and 7,681.24

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Solution

The fourth proportional to 13,969, 19,277.76 and 7,681.24 is: 10,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969 : 19,277.76 = 7,681.24 : x
  2. Step 2: Convert to fraction form
    13,969/19,277.76 = 7,681.24/x
  3. Step 3: Cross multiply
    13,969x = 19,277.76 × 7,681.24
  4. Step 4: Simplify right side
    13,969x = 148,077,101.22
  5. Step 5: Solve for x
    x = 148,077,101.22/13,969
  6. Step 6: Final answer
    x = 10,600.41

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1.5x scale

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.