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Finding the Fourth Proportional to 10,412.14, 15,625.10 and 9,720.14

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Solution

The fourth proportional to 10,412.14, 15,625.10 and 9,720.14 is: 14,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.14 : 15,625.10 = 9,720.14 : x
  2. Step 2: Convert to fraction form
    10,412.14/15,625.10 = 9,720.14/x
  3. Step 3: Cross multiply
    10,412.14x = 15,625.10 × 9,720.14
  4. Step 4: Simplify right side
    10,412.14x = 151,878,159.51
  5. Step 5: Solve for x
    x = 151,878,159.51/10,412.14
  6. Step 6: Final answer
    x = 14,586.64

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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.