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Finding the Fourth Proportional to 25,430.40, 35,090.40 and 14,678.40

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Solution

The fourth proportional to 25,430.40, 35,090.40 and 14,678.40 is: 20,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430.40 : 35,090.40 = 14,678.40 : x
  2. Step 2: Convert to fraction form
    25,430.40/35,090.40 = 14,678.40/x
  3. Step 3: Cross multiply
    25,430.40x = 35,090.40 × 14,678.40
  4. Step 4: Simplify right side
    25,430.40x = 515,070,927.36
  5. Step 5: Solve for x
    x = 515,070,927.36/25,430.40
  6. Step 6: Final answer
    x = 20,254.14

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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.