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Finding the Fourth Proportional to 9,720, 14,580 and 4,248

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Solution

The fourth proportional to 9,720, 14,580 and 4,248 is: 6,372

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,580 = 4,248 : x
  2. Step 2: Convert to fraction form
    9,720/14,580 = 4,248/x
  3. Step 3: Cross multiply
    9,720x = 14,580 × 4,248
  4. Step 4: Simplify right side
    9,720x = 61,935,840
  5. Step 5: Solve for x
    x = 61,935,840/9,720
  6. Step 6: Final answer
    x = 6,372

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.