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Finding the Fourth Proportional to 8,035.80, 12,053.70 and 5,280

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Solution

The fourth proportional to 8,035.80, 12,053.70 and 5,280 is: 7,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.80 : 12,053.70 = 5,280 : x
  2. Step 2: Convert to fraction form
    8,035.80/12,053.70 = 5,280/x
  3. Step 3: Cross multiply
    8,035.80x = 12,053.70 × 5,280
  4. Step 4: Simplify right side
    8,035.80x = 63,643,536.00
  5. Step 5: Solve for x
    x = 63,643,536.00/8,035.80
  6. Step 6: Final answer
    x = 7,920.00

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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.