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Finding the Fourth Proportional to 7,801.51, 11,641.89 and 6,970.75

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Solution

The fourth proportional to 7,801.51, 11,641.89 and 6,970.75 is: 10,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.51 : 11,641.89 = 6,970.75 : x
  2. Step 2: Convert to fraction form
    7,801.51/11,641.89 = 6,970.75/x
  3. Step 3: Cross multiply
    7,801.51x = 11,641.89 × 6,970.75
  4. Step 4: Simplify right side
    7,801.51x = 81,152,687.29
  5. Step 5: Solve for x
    x = 81,152,687.29/7,801.51
  6. Step 6: Final answer
    x = 10,402.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.