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Finding the Fourth Proportional to 7,866.40, 10,854.48 and 5,209.60

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Solution

The fourth proportional to 7,866.40, 10,854.48 and 5,209.60 is: 7,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.40 : 10,854.48 = 5,209.60 : x
  2. Step 2: Convert to fraction form
    7,866.40/10,854.48 = 5,209.60/x
  3. Step 3: Cross multiply
    7,866.40x = 10,854.48 × 5,209.60
  4. Step 4: Simplify right side
    7,866.40x = 56,547,499.01
  5. Step 5: Solve for x
    x = 56,547,499.01/7,866.40
  6. Step 6: Final answer
    x = 7,188.49

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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.