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Finding the Fourth Proportional to 5,259.90, 7,888.64 and 1,561.24

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Solution

The fourth proportional to 5,259.90, 7,888.64 and 1,561.24 is: 2,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.90 : 7,888.64 = 1,561.24 : x
  2. Step 2: Convert to fraction form
    5,259.90/7,888.64 = 1,561.24/x
  3. Step 3: Cross multiply
    5,259.90x = 7,888.64 × 1,561.24
  4. Step 4: Simplify right side
    5,259.90x = 12,316,032.79
  5. Step 5: Solve for x
    x = 12,316,032.79/5,259.90
  6. Step 6: Final answer
    x = 2,341.50

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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.