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Finding the Fourth Proportional to 10,525.65, 14,526.65 and 7,691.60

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Solution

The fourth proportional to 10,525.65, 14,526.65 and 7,691.60 is: 10,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.65 : 14,526.65 = 7,691.60 : x
  2. Step 2: Convert to fraction form
    10,525.65/14,526.65 = 7,691.60/x
  3. Step 3: Cross multiply
    10,525.65x = 14,526.65 × 7,691.60
  4. Step 4: Simplify right side
    10,525.65x = 111,733,070.05
  5. Step 5: Solve for x
    x = 111,733,070.05/10,525.65
  6. Step 6: Final answer
    x = 10,615.31

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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.