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Finding the Fourth Proportional to 9,700, 13,386 and 5,284

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Solution

The fourth proportional to 9,700, 13,386 and 5,284 is: 7,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 13,386 = 5,284 : x
  2. Step 2: Convert to fraction form
    9,700/13,386 = 5,284/x
  3. Step 3: Cross multiply
    9,700x = 13,386 × 5,284
  4. Step 4: Simplify right side
    9,700x = 70,731,624
  5. Step 5: Solve for x
    x = 70,731,624/9,700
  6. Step 6: Final answer
    x = 7,291.92

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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.