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Finding the Fourth Proportional to 19,205.14, 28,807.64 and 7,510.12

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Solution

The fourth proportional to 19,205.14, 28,807.64 and 7,510.12 is: 11,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.14 : 28,807.64 = 7,510.12 : x
  2. Step 2: Convert to fraction form
    19,205.14/28,807.64 = 7,510.12/x
  3. Step 3: Cross multiply
    19,205.14x = 28,807.64 × 7,510.12
  4. Step 4: Simplify right side
    19,205.14x = 216,348,833.32
  5. Step 5: Solve for x
    x = 216,348,833.32/19,205.14
  6. Step 6: Final answer
    x = 11,265.15

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1.5x scale

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.