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Finding the Fourth Proportional to 14,484, 19,988.16 and 7,860

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Solution

The fourth proportional to 14,484, 19,988.16 and 7,860 is: 10,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484 : 19,988.16 = 7,860 : x
  2. Step 2: Convert to fraction form
    14,484/19,988.16 = 7,860/x
  3. Step 3: Cross multiply
    14,484x = 19,988.16 × 7,860
  4. Step 4: Simplify right side
    14,484x = 157,106,937.60
  5. Step 5: Solve for x
    x = 157,106,937.60/14,484
  6. Step 6: Final answer
    x = 10,846.93

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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.