Home / 13,088-18,061.30-7,782.70

Finding the Fourth Proportional to 13,088, 18,061.30 and 7,782.70

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Solution

The fourth proportional to 13,088, 18,061.30 and 7,782.70 is: 10,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088 : 18,061.30 = 7,782.70 : x
  2. Step 2: Convert to fraction form
    13,088/18,061.30 = 7,782.70/x
  3. Step 3: Cross multiply
    13,088x = 18,061.30 × 7,782.70
  4. Step 4: Simplify right side
    13,088x = 140,565,679.51
  5. Step 5: Solve for x
    x = 140,565,679.51/13,088
  6. Step 6: Final answer
    x = 10,740.04

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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.