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Finding the Fourth Proportional to 15,686.80, 21,656.04 and 9,715.60

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Solution

The fourth proportional to 15,686.80, 21,656.04 and 9,715.60 is: 13,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.80 : 21,656.04 = 9,715.60 : x
  2. Step 2: Convert to fraction form
    15,686.80/21,656.04 = 9,715.60/x
  3. Step 3: Cross multiply
    15,686.80x = 21,656.04 × 9,715.60
  4. Step 4: Simplify right side
    15,686.80x = 210,401,422.22
  5. Step 5: Solve for x
    x = 210,401,422.22/15,686.80
  6. Step 6: Final answer
    x = 13,412.64

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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.