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Finding the Fourth Proportional to 15,710.20, 21,674.68 and 9,739.72

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Solution

The fourth proportional to 15,710.20, 21,674.68 and 9,739.72 is: 13,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.20 : 21,674.68 = 9,739.72 : x
  2. Step 2: Convert to fraction form
    15,710.20/21,674.68 = 9,739.72/x
  3. Step 3: Cross multiply
    15,710.20x = 21,674.68 × 9,739.72
  4. Step 4: Simplify right side
    15,710.20x = 211,105,314.29
  5. Step 5: Solve for x
    x = 211,105,314.29/15,710.20
  6. Step 6: Final answer
    x = 13,437.47

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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.