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Finding the Fourth Proportional to 5,802.61, 8,703.95 and 1,420.07

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Solution

The fourth proportional to 5,802.61, 8,703.95 and 1,420.07 is: 2,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.61 : 8,703.95 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    5,802.61/8,703.95 = 1,420.07/x
  3. Step 3: Cross multiply
    5,802.61x = 8,703.95 × 1,420.07
  4. Step 4: Simplify right side
    5,802.61x = 12,360,206.87
  5. Step 5: Solve for x
    x = 12,360,206.87/5,802.61
  6. Step 6: Final answer
    x = 2,130.11

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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.