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Finding the Fourth Proportional to 9,710.40, 13,384.80 and 7,610.88

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Solution

The fourth proportional to 9,710.40, 13,384.80 and 7,610.88 is: 10,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.40 : 13,384.80 = 7,610.88 : x
  2. Step 2: Convert to fraction form
    9,710.40/13,384.80 = 7,610.88/x
  3. Step 3: Cross multiply
    9,710.40x = 13,384.80 × 7,610.88
  4. Step 4: Simplify right side
    9,710.40x = 101,870,106.62
  5. Step 5: Solve for x
    x = 101,870,106.62/9,710.40
  6. Step 6: Final answer
    x = 10,490.82

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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.