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Finding the Fourth Proportional to 10,857.40, 14,925.02 and 9,788.20

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Solution

The fourth proportional to 10,857.40, 14,925.02 and 9,788.20 is: 13,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.40 : 14,925.02 = 9,788.20 : x
  2. Step 2: Convert to fraction form
    10,857.40/14,925.02 = 9,788.20/x
  3. Step 3: Cross multiply
    10,857.40x = 14,925.02 × 9,788.20
  4. Step 4: Simplify right side
    10,857.40x = 146,089,080.76
  5. Step 5: Solve for x
    x = 146,089,080.76/10,857.40
  6. Step 6: Final answer
    x = 13,455.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.