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Finding the Fourth Proportional to 9,026.40, 13,518.48 and 7,807.20

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Solution

The fourth proportional to 9,026.40, 13,518.48 and 7,807.20 is: 11,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.40 : 13,518.48 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    9,026.40/13,518.48 = 7,807.20/x
  3. Step 3: Cross multiply
    9,026.40x = 13,518.48 × 7,807.20
  4. Step 4: Simplify right side
    9,026.40x = 105,541,477.06
  5. Step 5: Solve for x
    x = 105,541,477.06/9,026.40
  6. Step 6: Final answer
    x = 11,692.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.