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Finding the Fourth Proportional to 7,810.10, 11,715.03 and 1,886.93

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Solution

The fourth proportional to 7,810.10, 11,715.03 and 1,886.93 is: 2,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.10 : 11,715.03 = 1,886.93 : x
  2. Step 2: Convert to fraction form
    7,810.10/11,715.03 = 1,886.93/x
  3. Step 3: Cross multiply
    7,810.10x = 11,715.03 × 1,886.93
  4. Step 4: Simplify right side
    7,810.10x = 22,105,470.85
  5. Step 5: Solve for x
    x = 22,105,470.85/7,810.10
  6. Step 6: Final answer
    x = 2,830.37

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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.