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Finding the Fourth Proportional to 15,281.68, 21,078.48 and 9,977.80

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Solution

The fourth proportional to 15,281.68, 21,078.48 and 9,977.80 is: 13,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,281.68 : 21,078.48 = 9,977.80 : x
  2. Step 2: Convert to fraction form
    15,281.68/21,078.48 = 9,977.80/x
  3. Step 3: Cross multiply
    15,281.68x = 21,078.48 × 9,977.80
  4. Step 4: Simplify right side
    15,281.68x = 210,316,857.74
  5. Step 5: Solve for x
    x = 210,316,857.74/15,281.68
  6. Step 6: Final answer
    x = 13,762.68

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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.