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Finding the Fourth Proportional to 10,459.40, 14,447.78 and 7,802.20

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Solution

The fourth proportional to 10,459.40, 14,447.78 and 7,802.20 is: 10,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.40 : 14,447.78 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    10,459.40/14,447.78 = 7,802.20/x
  3. Step 3: Cross multiply
    10,459.40x = 14,447.78 × 7,802.20
  4. Step 4: Simplify right side
    10,459.40x = 112,724,469.12
  5. Step 5: Solve for x
    x = 112,724,469.12/10,459.40
  6. Step 6: Final answer
    x = 10,777.34

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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.