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Finding the Fourth Proportional to 15,762.64, 21,748.68 and 8,955.16

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Solution

The fourth proportional to 15,762.64, 21,748.68 and 8,955.16 is: 12,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.64 : 21,748.68 = 8,955.16 : x
  2. Step 2: Convert to fraction form
    15,762.64/21,748.68 = 8,955.16/x
  3. Step 3: Cross multiply
    15,762.64x = 21,748.68 × 8,955.16
  4. Step 4: Simplify right side
    15,762.64x = 194,762,909.19
  5. Step 5: Solve for x
    x = 194,762,909.19/15,762.64
  6. Step 6: Final answer
    x = 12,355.98

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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.