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Finding the Fourth Proportional to 25,312.96, 37,973.76 and 7,782.40

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Solution

The fourth proportional to 25,312.96, 37,973.76 and 7,782.40 is: 11,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.96 : 37,973.76 = 7,782.40 : x
  2. Step 2: Convert to fraction form
    25,312.96/37,973.76 = 7,782.40/x
  3. Step 3: Cross multiply
    25,312.96x = 37,973.76 × 7,782.40
  4. Step 4: Simplify right side
    25,312.96x = 295,526,989.82
  5. Step 5: Solve for x
    x = 295,526,989.82/25,312.96
  6. Step 6: Final answer
    x = 11,674.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.