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Finding the Fourth Proportional to 10,577.80, 14,602.10 and 7,608.20

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Solution

The fourth proportional to 10,577.80, 14,602.10 and 7,608.20 is: 10,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.80 : 14,602.10 = 7,608.20 : x
  2. Step 2: Convert to fraction form
    10,577.80/14,602.10 = 7,608.20/x
  3. Step 3: Cross multiply
    10,577.80x = 14,602.10 × 7,608.20
  4. Step 4: Simplify right side
    10,577.80x = 111,095,697.22
  5. Step 5: Solve for x
    x = 111,095,697.22/10,577.80
  6. Step 6: Final answer
    x = 10,502.72

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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.