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Finding the Fourth Proportional to 15,854.40, 21,875.94 and 9,566.64

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Solution

The fourth proportional to 15,854.40, 21,875.94 and 9,566.64 is: 13,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.40 : 21,875.94 = 9,566.64 : x
  2. Step 2: Convert to fraction form
    15,854.40/21,875.94 = 9,566.64/x
  3. Step 3: Cross multiply
    15,854.40x = 21,875.94 × 9,566.64
  4. Step 4: Simplify right side
    15,854.40x = 209,279,242.64
  5. Step 5: Solve for x
    x = 209,279,242.64/15,854.40
  6. Step 6: Final answer
    x = 13,200.07

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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.