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Finding the Fourth Proportional to 7,878, 10,869.73 and 5,188.93

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Solution

The fourth proportional to 7,878, 10,869.73 and 5,188.93 is: 7,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 10,869.73 = 5,188.93 : x
  2. Step 2: Convert to fraction form
    7,878/10,869.73 = 5,188.93/x
  3. Step 3: Cross multiply
    7,878x = 10,869.73 × 5,188.93
  4. Step 4: Simplify right side
    7,878x = 56,402,268.09
  5. Step 5: Solve for x
    x = 56,402,268.09/7,878
  6. Step 6: Final answer
    x = 7,159.47

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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.