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Finding the Fourth Proportional to 5,798.78, 8,681.60 and 5,430.94

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Solution

The fourth proportional to 5,798.78, 8,681.60 and 5,430.94 is: 8,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.78 : 8,681.60 = 5,430.94 : x
  2. Step 2: Convert to fraction form
    5,798.78/8,681.60 = 5,430.94/x
  3. Step 3: Cross multiply
    5,798.78x = 8,681.60 × 5,430.94
  4. Step 4: Simplify right side
    5,798.78x = 47,149,248.70
  5. Step 5: Solve for x
    x = 47,149,248.70/5,798.78
  6. Step 6: Final answer
    x = 8,130.89

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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.