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Finding the Fourth Proportional to 7,827.61, 10,802.02 and 4,290.80

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Solution

The fourth proportional to 7,827.61, 10,802.02 and 4,290.80 is: 5,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.61 : 10,802.02 = 4,290.80 : x
  2. Step 2: Convert to fraction form
    7,827.61/10,802.02 = 4,290.80/x
  3. Step 3: Cross multiply
    7,827.61x = 10,802.02 × 4,290.80
  4. Step 4: Simplify right side
    7,827.61x = 46,349,296.69
  5. Step 5: Solve for x
    x = 46,349,296.69/7,827.61
  6. Step 6: Final answer
    x = 5,921.26

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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.