Home / 13,965-19,271.70-7,677.24

Finding the Fourth Proportional to 13,965, 19,271.70 and 7,677.24

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Solution

The fourth proportional to 13,965, 19,271.70 and 7,677.24 is: 10,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965 : 19,271.70 = 7,677.24 : x
  2. Step 2: Convert to fraction form
    13,965/19,271.70 = 7,677.24/x
  3. Step 3: Cross multiply
    13,965x = 19,271.70 × 7,677.24
  4. Step 4: Simplify right side
    13,965x = 147,953,466.11
  5. Step 5: Solve for x
    x = 147,953,466.11/13,965
  6. Step 6: Final answer
    x = 10,594.59

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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.