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Finding the Fourth Proportional to 7,860.66, 10,848.77 and 7,196.32

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Solution

The fourth proportional to 7,860.66, 10,848.77 and 7,196.32 is: 9,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.66 : 10,848.77 = 7,196.32 : x
  2. Step 2: Convert to fraction form
    7,860.66/10,848.77 = 7,196.32/x
  3. Step 3: Cross multiply
    7,860.66x = 10,848.77 × 7,196.32
  4. Step 4: Simplify right side
    7,860.66x = 78,071,184.54
  5. Step 5: Solve for x
    x = 78,071,184.54/7,860.66
  6. Step 6: Final answer
    x = 9,931.89

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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.