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Finding the Fourth Proportional to 14,000, 19,320 and 7,712.51

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Solution

The fourth proportional to 14,000, 19,320 and 7,712.51 is: 10,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000 : 19,320 = 7,712.51 : x
  2. Step 2: Convert to fraction form
    14,000/19,320 = 7,712.51/x
  3. Step 3: Cross multiply
    14,000x = 19,320 × 7,712.51
  4. Step 4: Simplify right side
    14,000x = 149,005,693.20
  5. Step 5: Solve for x
    x = 149,005,693.20/14,000
  6. Step 6: Final answer
    x = 10,643.26

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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.